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[18] Package hyperref Info: bookmark level for unknown satz* defaults to 0 on input line 637. Package hyperref Info: bookmark level for unknown bemerkungenX defaults to 0 on input line 649. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 652. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 652. [19] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 658. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 658. Overfull \hbox (6.79999pt too wide) in paragraph at lines 695--696 [][][][] [] Underfull \hbox (badness 10000) in paragraph at lines 695--696 [] Underfull \vbox (badness 6641) has occurred while \output is active [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 697. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 697. [20] Overfull \hbox (6.79999pt too wide) in paragraph at lines 719--720 [][][][] [] Underfull \hbox (badness 10000) in paragraph at lines 719--720 [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 745. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 745. [21] Overfull \hbox (6.79999pt too wide) in paragraph at lines 761--762 [][][][] [] Underfull \hbox (badness 10000) in paragraph at lines 761--762 [] Package hyperref Info: bookmark level for unknown korrolar defaults to 0 on inp ut line 785. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 792. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 792. [22] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 792. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 792. [23] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 792. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 792. [24 ] Kapitel 2. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 792. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 792. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 794. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 794. Overfull \hbox (6.79999pt too wide) in paragraph at lines 824--825 [][][][] [] Underfull \hbox (badness 10000) in paragraph at lines 824--825 [] Overfull \hbox (17.67882pt too wide) in paragraph at lines 830--831 []\T1/cmr/m/n/10.95 Der Isometrie-Begriff auf Rie-mann'schen Man-nig-fal-tig-ke i-ten: Ein Dif-feo-mor-phis-mus $\OT1/cmr/m/n/10.95 ^^H : (\OML/cmm/m/it/10.95 M; \OMS/cmsy/m/n/10.95 h^^A\OML/cmm/m/it/10.95 ; \OMS/cmsy/m/n/10.95 ^^Ai\OT1/c mr/m/n/10.95 ) \OMS/cmsy/m/n/10.95 ! [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 836. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 836. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 837. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 837. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 837. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 837. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 840. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 840. [25] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 840. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 840. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 840. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 840. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 862. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 862. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 886. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 886. [26] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 888. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 888. Overfull \hbox (6.79999pt too wide) in paragraph at lines 904--905 [][][][] [] Underfull \hbox (badness 10000) in paragraph at lines 904--905 [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 936. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 936. [27] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 952. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 952. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 979. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 979. [28] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1018. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1018. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1023. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1023. [29] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1029. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1029. [30] Kapitel 3. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1029. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1029. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1031. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1031. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1047. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1047. Overfull \hbox (6.79999pt too wide) in paragraph at lines 1066--1067 [][][] [] Underfull \hbox (badness 10000) in paragraph at lines 1066--1067 [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1070. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1070. [31 ] Overfull \hbox (6.79999pt too wide) in paragraph at lines 1096--1097 [][][][] [] Underfull \hbox (badness 10000) in paragraph at lines 1096--1097 [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1105. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1105. [32] Overfull \hbox (6.79999pt too wide) in paragraph at lines 1120--1121 [][][][] [] Underfull \hbox (badness 10000) in paragraph at lines 1120--1121 [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1136. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1136. Overfull \hbox (6.79999pt too wide) in paragraph at lines 1146--1147 [][][][] [] Underfull \hbox (badness 10000) in paragraph at lines 1146--1147 [] Underfull \vbox (badness 1888) has occurred while \output is active [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1148. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1148. [33] Overfull \hbox (0.51794pt too wide) in paragraph at lines 1156--1157 []$\OT1/cmr/m/n/10.95 (\OMS/cmsy/m/n/10.95 ^^C\OT1/cmr/m/n/10.95 ) =[]\OMS/cms y/m/n/10.95 ) $ \T1/cmr/m/n/10.95 ver-träg-lich: $\OML/cmm/m/it/10.95 V$\T1/cmr /m/n/10.95 , $\OML/cmm/m/it/10.95 W$ \T1/cmr/m/n/10.95 par-al-lel ist äqui-va-l ent zu $\OML/cmm/m/it/10.95 D[]V \OT1/cmr/m/n/10.95 = \OML/cmm/m/it/10.95 D[]W \OT1/cmr/m/n/10.95 = 0$\T1/cmr/m/n/10.95 , al-so $[]\OMS/cmsy/m/n/10.95 h\OML/c mm/m/it/10.95 V\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 t\OT1/cmr/m/n/10.95 )\OM L/cmm/m/it/10.95 ; W\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 t\OT1/cmr/m/n/10.95 )\OMS/cmsy/m/n/10.95 i[] \OT1/cmr/m/n/10.95 = [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1176. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1176. [34] Overfull \hbox (6.79999pt too wide) in paragraph at lines 1196--1197 [][][][] [] Underfull \hbox (badness 10000) in paragraph at lines 1196--1197 [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1231. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1231. [35] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1258. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1258. [36] Kapitel 4. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1258. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1258. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1266. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1266. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1292. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1292. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1296. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1296. [37 ] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1304. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1304. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 1304. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 1304. Overfull \hbox (6.79999pt too wide) in paragraph at lines 1329--1330 [][][][] [] Underfull \hbox (badness 10000) in paragraph at lines 1329--1330 [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1334. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1334. [38] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1352. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1352. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1363. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1363. [39] Overfull \hbox (6.79999pt too wide) in paragraph at lines 1384--1385 [][][][] [] Underfull \hbox (badness 10000) in paragraph at lines 1384--1385 [] Overfull \hbox (10.71852pt too wide) in paragraph at lines 1400--1401 []\T1/cmr/m/n/10.95 Wir be-nut-zen den Um-kehrs-atz für Man-nig-fal-tig-keit (S atz [][]1.2[][]). Zu zei-gen ist: $[][] \OT1/cmr/m/n/10.95 : \OML/cmm/m/it/10.9 5 T[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 B[]\OT1/cmr/m/n/10.95 (0)) [] [] Overfull \hbox (21.25903pt too wide) in paragraph at lines 1402--1403 []\T1/cmr/m/n/10.95 Wähle da-zu die Kur-ve $\OML/cmm/m/it/10.95 c\OT1/cmr/m/n/1 0.95 (\OML/cmm/m/it/10.95 t\OT1/cmr/m/n/10.95 ) = \OML/cmm/m/it/10.95 tv$ \T1/c mr/m/n/10.95 (mit $\OML/cmm/m/it/10.95 c\OT1/cmr/m/n/10.95 (0) = 0$\T1/cmr/m/n/ 10.95 , $\OML/cmm/m/it/10.95 c[]\OT1/cmr/m/n/10.95 (0) = \OML/cmm/m/it/10.95 v$ \T1/cmr/m/n/10.95 ). Dann ist: $[][] \OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 v\ OT1/cmr/m/n/10.95 ) = [][] ([][] \OMS/cmsy/m/n/10.95 ^^N \OML/cmm/m/it/10.95 c\ OT1/cmr/m/n/10.95 )(\OML/cmm/m/it/10.95 t\OT1/cmr/m/n/10.95 ) = [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1403. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1403. [40] Overfull \hbox (6.79999pt too wide) in paragraph at lines 1411--1412 [][][][] [] Underfull \hbox (badness 10000) in paragraph at lines 1411--1412 [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1421. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1421. Overfull \hbox (20.5402pt too wide) in paragraph at lines 1425--1426 \T1/cmr/m/n/10.95 Die Pa-ra-me-ter-li-ni-en $\OML/cmm/m/it/10.95 f\OT1/cmr/m/n/ 10.95 (\OML/cmm/m/it/10.95 u; v[]\OT1/cmr/m/n/10.95 )$ \T1/cmr/m/n/10.95 bzw. $ \OML/cmm/m/it/10.95 f\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 u[]; v\OT1/cmr/m/n /10.95 )$ \T1/cmr/m/n/10.95 mit $\OML/cmm/m/it/10.95 v[]$ \T1/cmr/m/n/10.95 bzw . $\OML/cmm/m/it/10.95 u[]$ \T1/cmr/m/n/10.95 fest de-fi-nie-ren die ^^RTangent ial-Vektorfelder^^P [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1440. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1440. [41] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1486. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1486. [42] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1537. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1537. [43] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1570. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1570. [44] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1601. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1601. [45] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1604. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1604. [46] Kapitel 5. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1604. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1604. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1608. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1608. Overfull \hbox (6.79999pt too wide) in paragraph at lines 1630--1631 [][][][] [] Underfull \hbox (badness 10000) in paragraph at lines 1630--1631 [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1644. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1644. [47 ] Overfull \hbox (3.81337pt too wide) in paragraph at lines 1661--1665 \OMS/cmsy/m/n/10.95 h\OML/cmm/m/it/10.95 D[]W; W\OMS/cmsy/m/n/10.95 i \OT1/cmr/ m/n/10.95 = [][\OML/cmm/m/it/10.95 X; Y\OT1/cmr/m/n/10.95 ]\OMS/cmsy/m/n/10.95 h\OML/cmm/m/it/10.95 W; W\OMS/cmsy/m/n/10.95 i$\T1/cmr/m/n/10.95 . So-mit: $\OM S/cmsy/m/n/10.95 h\OML/cmm/m/it/10.95 R\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 X; Y\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 W; W\OMS/cmsy/m/n/10.95 i \OT1/cmr/ m/n/10.95 = \OML/cmm/m/it/10.95 Y\OMS/cmsy/m/n/10.95 h\OML/cmm/m/it/10.95 D[]W; W\OMS/cmsy/m/n/10.95 i ^^@ h\OML/cmm/m/it/10.95 D[]W; D[]W\OMS/cmsy/m/n/10.95 i ^^@ [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1691. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1691. [48] Overfull \hbox (22.67302pt too wide) in paragraph at lines 1713--1714 \T1/cmr/m/n/10.95 Sei $\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 M; \OMS/cmsy/m/n /10.95 h^^A\OML/cmm/m/it/10.95 ; \OMS/cmsy/m/n/10.95 ^^Ai\OT1/cmr/m/n/10.95 )$ \T1/cmr/m/n/10.95 ei-ne Rie-mann'sche Man-nig-fal-tig-keit und $\OML/cmm/m/it/1 0.95 D$ \T1/cmr/m/n/10.95 der zu-ge-hö-ri-ger Levi-Civita-Zusammenhang. [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1723. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1723. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1731. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1731. [49] Overfull \hbox (6.79999pt too wide) in paragraph at lines 1741--1742 [][][][] [] Underfull \hbox (badness 10000) in paragraph at lines 1741--1742 [] Underfull \hbox (badness 1152) in paragraph at lines 1750--1751 \T1/cmr/m/n/10.95 ist $\OML/cmm/m/it/10.95 df\OMS/cmsy/m/n/10.95 j[]\OT1/cmr/m/ n/10.95 (\OML/cmm/m/it/10.95 ^^[\OT1/cmr/m/n/10.95 ) \OMS/cmsy/m/n/10.95 ^^Z \O ML/cmm/m/it/10.95 T[]N$ \T1/cmr/m/n/10.95 ein 2-dimensionaler Un-ter-vek-tor-ra um und $\OML/cmm/m/it/10.95 K[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 p; ^^[\O T1/cmr/m/n/10.95 ) = [] Overfull \hbox (14.78204pt too wide) in paragraph at lines 1784--1786 \T1/cmr/m/n/10.95 ergänze zu ei-ner Or-tho-nor-mal-ba-sis $\OMS/cmsy/m/n/10.95 f\OML/cmm/m/it/10.95 f[]; [] ; f[]\OMS/cmsy/m/n/10.95 g$ \T1/cmr/m/n/10.95 von $\U/msb/m/n/10.95 R[]$\T1/cmr/m/n/10.95 . Dann ist $\OML/cmm/m/it/10.95 A [] \O T1/cmr/m/n/10.95 [\OML/cmm/m/it/10.95 f[]; f[]; [] ; f[]\OT1/cmr/m/n/10.95 ] \O MS/cmsy/m/n/10.95 2 [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1786. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1786. [50] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1830. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1830. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1838. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1838. [51] Overfull \hbox (3.41391pt too wide) in paragraph at lines 1848--1849 []\T1/cmr/m/n/10.95 Eine Rie-mann'sche Man-nig-fal-tig-keit $\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 M; g\OT1/cmr/m/n/10.95 )$ \T1/cmr/m/n/10.95 heiÿt Einstei n-Raum falls $[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x; y\OT1/cmr/m/n/10.95 ) = \OML/cmm/m/it/10.95 ^^Ug\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x; y\OT1/cm r/m/n/10.95 ) \OMS/cmsy/m/n/10.95 8\OML/cmm/m/it/10.95 x; y \OMS/cmsy/m/n/10.95 2 [] Overfull \hbox (4.65503pt too wide) in paragraph at lines 1861--1863 \T1/cmr/m/n/10.95 wobei $\OML/cmm/m/it/10.95 G$\T1/cmr/m/n/10.95 : Einstein-Ten sor für 4 di-men-sio-na-le Lorentz-Mannigfaltigkeit (mit Pseudo-Riemannscher [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1868. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1868. [52] Kapitel 6. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1868. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1868. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1869. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1869. Overfull \hbox (38.23735pt too wide) in paragraph at lines 1900--1905 [][]\OML/cmm/m/it/10.95 X[] \OT1/cmr/m/n/10.95 = [][] []\OML/cmm/m/it/10.95 D[] X[] \OT1/cmr/m/n/10.95 + [][] []\OML/cmm/m/it/10.95 D[] [] \OT1/cmr/m/n/10.95 = [][] []\OML/cmm/m/it/10.95 D[]X[] \OT1/cmr/m/n/10.95 + [][] [] []$\T1/cmr/m/n/ 10.95 . [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1905. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1905. [53 ] Overfull \hbox (6.79999pt too wide) in paragraph at lines 1926--1927 [][][][] [] Underfull \hbox (badness 10000) in paragraph at lines 1926--1927 [] Overfull \hbox (12.57462pt too wide) in paragraph at lines 1934--1937 []\T1/cmr/m/n/10.95 Weiter sei $\OML/cmm/m/it/10.95 a[]\OT1/cmr/m/n/10.95 (\OML /cmm/m/it/10.95 t\OT1/cmr/m/n/10.95 ) [] \OMS/cmsy/m/n/10.95 h\OML/cmm/m/it/10. 95 R\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 ^^M[]\OT1/cmr/m/n/10.95 (\OML/cmm/m /it/10.95 t\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 ; E[]\OT1/cmr/m/n/10.95 (\OM L/cmm/m/it/10.95 t\OT1/cmr/m/n/10.95 ))\OML/cmm/m/it/10.95 ^^M[]\OT1/cmr/m/n/10 .95 (\OML/cmm/m/it/10.95 t\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 ; E[]\OT1/cmr /m/n/10.95 (\OML/cmm/m/it/10.95 t\OT1/cmr/m/n/10.95 )\OMS/cmsy/m/n/10.95 i[]$\T 1/cmr/m/n/10.95 . Dann gilt $\OML/cmm/m/it/10.95 R\OT1/cmr/m/n/10.95 (\OML/cmm/ m/it/10.95 ^^M[]; J\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 ^^M[] \OT1/cmr/m/n/1 0.95 = [][] [] \OML/cmm/m/it/10.95 E[] \OT1/cmr/m/n/10.95 = [] Package hyperref Info: bookmark level for unknown folgerung* defaults to 0 on i nput line 1947. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1955. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1955. [54] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2004. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2004. [55] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2042. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2042. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2044. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2044. [56] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2085. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2085. [57] Overfull \hbox (20.95416pt too wide) in paragraph at lines 2101--2102 \OT1/cmr/m/n/10.95 2\OML/cmm/m/it/10.95 ^^Y []$\T1/cmr/m/n/10.95 , al-so $\OML/ cmm/m/it/10.95 K\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 p; ^^[\OT1/cmr/m/n/10.9 5 ) = +1$\T1/cmr/m/n/10.95 . Im Hy-per-bo-li-schen ist $\OML/cmm/m/it/10.95 L\O T1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 K[]\OT1/cmr/m/n/10.95 ) = 2\OML/cmm/m/it/ 10.95 ^^Y [] r \OT1/cmr/m/n/10.95 = 2\OML/cmm/m/it/10.95 ^^Y []$\T1/cmr/m/n/10. 95 , [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2105. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2105. [58] Kapitel 7. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2105. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2105. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2134. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2134. [59 ] Overfull \hbox (4.18315pt too wide) in paragraph at lines 2165--2166 []\T1/cmr/m/n/10.95 Da $\OT1/cmr/m/n/10.95 []$ \T1/cmr/m/n/10.95 ei-ne Ober-men-ge der We-ge von $\OML/cmm/m/it/10.95 p$ \ T1/cmr/m/n/10.95 nach $\OML/cmm/m/it/10.95 q$ \T1/cmr/m/n/10.95 über $\OML/cmm/ m/it/10.95 r$ \T1/cmr/m/n/10.95 ist, gilt $[][] \OML/cmm/m/it/10.95 L\OT1/cmr/m /n/10.95 (\OML/cmm/m/it/10.95 c\OT1/cmr/m/n/10.95 ) \OMS/cmsy/m/n/10.95 ^^T [][ ] \OML/cmm/m/it/10.95 L\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 c\OT1/cmr/m/n/10 .95 ) + [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2178. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2178. [60] Overfull \hbox (6.79999pt too wide) in paragraph at lines 2199--2200 [][][][] [] Underfull \hbox (badness 10000) in paragraph at lines 2199--2200 [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2215. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2215. [61] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2246. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2246. [62] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2281. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2281. [63] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2283. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2283. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2314. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2314. [64] Overfull \hbox (38.12206pt too wide) in paragraph at lines 2333--2333 \T1/cmr/m/n/10.95 eine of-fe-ne Um-ge-bung von $\OT1/cmr/m/n/10.95 0 \OMS/cmsy/ m/n/10.95 2 \OML/cmm/m/it/10.95 T[]M$\T1/cmr/m/n/10.95 . Der Rand von $\OML/cmm /m/it/10.95 U[]$\T1/cmr/m/n/10.95 , $\OML/cmm/m/it/10.95 @U[]$\T1/cmr/m/n/10.95 , ist die Men-ge $[] \OT1/cmr/m/n/10.95 = [] Overfull \hbox (5.16235pt too wide) in paragraph at lines 2342--2343 []\T1/cmr/m/n/10.95 Ist $\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 M; \OMS/cmsy/m /n/10.95 h^^A\OML/cmm/m/it/10.95 ; \OMS/cmsy/m/n/10.95 ^^Ai\OT1/cmr/m/n/10.95 ) $ \T1/cmr/m/n/10.95 ei-ne zu-sam-men-hän-gen-de kom-pak-te Riem-man'sche Man-ni g-fal-tig-keit mit $[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 M\OT1/cmr/m/n/10. 95 ) = [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2356. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2356. [65] Overfull \hbox (6.79999pt too wide) in paragraph at lines 2387--2388 [][][][] [] Underfull \hbox (badness 10000) in paragraph at lines 2387--2388 [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2388. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2388. [66] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2425. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2425. [67] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2443. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2443. Overfull \hbox (6.79999pt too wide) in paragraph at lines 2454--2455 [][][][] [] Underfull \hbox (badness 10000) in paragraph at lines 2454--2455 [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2462. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2462. [68] Overfull \hbox (9.53029pt too wide) in paragraph at lines 2485--2486 []$[]$ \T1/cmr/m/n/10.95 sei-en die Ko-or-di-na-ten in $\OML/cmm/m/it/10.95 T[] M$ \T1/cmr/m/n/10.95 be-züg-lich der Or-tho-nor-mal-ba-sis $\OMS/cmsy/m/n/10.95 f\OML/cmm/m/it/10.95 u; e[]; [] ; e[]\OMS/cmsy/m/n/10.95 g$\T1/cmr/m/n/10.95 . [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2504. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2504. [69] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2540. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2540. [70] Anhang A. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2540. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2540. ** Generating table of satz,wichtigedefinition (./RieGeo.thm) Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2545. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2545. (./RieGeo.ind Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1. [71 ] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1. [72 ] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 128. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 128. [73 ] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 148. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 148. [74 ]) \tf@thm=\write6 \openout6 = `RieGeo.thm'. Package atveryend Info: Empty hook `BeforeClearDocument' on input line 2548. Package atveryend Info: Empty hook `AfterLastShipout' on input line 2548. (./RieGeo.aux) Package atveryend Info: Executing hook `AtVeryEndDocument' on input line 2548. Package atveryend Info: Executing hook `AtEndAfterFileList' on input line 2548. Package rerunfilecheck Info: File `RieGeo.out' has not changed. (rerunfilecheck) Checksum: 7389DFAC2F466C2DCC0545D849E5221B;3407. LaTeX Font Warning: Some font shapes were not available, defaults substituted. Package atveryend Info: Empty hook `AtVeryVeryEnd' on input line 2548. ) Here is how much of TeX's memory you used: 14084 strings out of 493304 209534 string characters out of 6139872 370338 words of memory out of 5000000 16815 multiletter control sequences out of 15000+600000 33605 words of font info for 119 fonts, out of 8000000 for 9000 957 hyphenation exceptions out of 8191 49i,20n,61p,828b,729s stack positions out of 5000i,500n,10000p,200000b,80000s {/usr/shar e/texmf/fonts/enc/dvips/cm-super/cm-super-t1.enc} Output written on RieGeo.pdf (74 pages, 813677 bytes). PDF statistics: 1256 PDF objects out of 1440 (max. 8388607) 1113 compressed objects within 12 object streams 435 named destinations out of 1000 (max. 500000) 329 words of extra memory for PDF output out of 10000 (max. 10000000)