메뉴 건너뛰기




Volumn 6, Issue 1, 1996, Pages

Spaces of Wald-Berestovskii curvature bounded below

Author keywords

Alexandrov space; Hopf Rinow theorem; Toponogov's theorem; Wald curvature

Indexed keywords


EID: 8744309187     PISSN: 10506926     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (29)

References (21)
  • 1
    • 8644277710 scopus 로고
    • The Hopf-Rinow theorem is false in infinite dimensions
    • [A] Atkin, C. J., The Hopf-Rinow theorem is false in infinite dimensions. Bull. London Math. Soc. 7, 261-266 (1975).
    • (1975) Bull. London Math. Soc. , vol.7 , pp. 261-266
    • Atkin, C.J.1
  • 2
    • 0010675664 scopus 로고
    • Spaces with bounded curvature and distance geometry
    • [B] Berestovskii, V. N. Spaces with bounded curvature and distance geometry. Siberian Math. J. 27, 11-25 (1986).
    • (1986) Siberian Math. J. , vol.27 , pp. 11-25
    • Berestovskii, V.N.1
  • 4
    • 33646864986 scopus 로고
    • Alexandrov's spaces with curvatures bounded from below I (revised)
    • [BGP2] Burago, Yu., Gromov, M., and Perelman, G. Alexandrov's spaces with curvatures bounded from below I (revised). Russian Math. Surveys 47, 1-58 (1992).
    • (1992) Russian Math. Surveys , vol.47 , pp. 1-58
    • Burago, Yu.1    Gromov, M.2    Perelman, G.3
  • 6
    • 8744293780 scopus 로고
    • Existenz Kurzester Wege
    • Cohn-Vossen, S. Existenz Kurzester Wege. Doklady SSSR 8, 339-342 (1935).
    • (1935) Doklady SSSR , vol.8 , pp. 339-342
    • Cohn-Vossen, S.1
  • 7
    • 84972502983 scopus 로고
    • The Hopf-Rinow theorem in infinite dimension
    • [E] Ekeland, Ivar, The Hopf-Rinow theorem in infinite dimension. J. Differential Geom. 13, 287-301 (1978).
    • (1978) J. Differential Geom. , vol.13 , pp. 287-301
    • Ekeland, I.1
  • 8
    • 51649160427 scopus 로고
    • Groups of polynomial growth and expanding maps
    • [G] Gromov, M. Groups of polynomial growth and expanding maps. Publ. Math. I.H.E.S. 53, 53-78 (1981).
    • (1981) Publ. Math. I.H.E.S. , vol.53 , pp. 53-78
    • Gromov, M.1
  • 9
    • 84968505013 scopus 로고
    • Hubert manifolds without epiconjugate points
    • [Gs] Grossman, N. Hubert manifolds without epiconjugate points. Proc. Amer. Math. Soc. 16, 1365-1371 (1965).
    • (1965) Proc. Amer. Math. Soc. , vol.16 , pp. 1365-1371
    • Grossman, N.1
  • 10
    • 84972492371 scopus 로고
    • Manifolds near the boundary of existence
    • [GP] Grove, K. and Petersen, P. Manifolds near the boundary of existence. J. Differential Geom. 33, 379-394 (1991).
    • (1991) J. Differential Geom. , vol.33 , pp. 379-394
    • Grove, K.1    Petersen, P.2
  • 14
    • 0001360614 scopus 로고
    • A new version of differentiable sphere theorem
    • [OSY] Otsu, Y, Shiohama, K., and Yamaguchi, T. A new version of differentiable sphere theorem. Invent. Math. 98, 219-228 (1989).
    • (1989) Invent. Math. , vol.98 , pp. 219-228
    • Otsu, Y.1    Shiohama, K.2    Yamaguchi, T.3
  • 15
    • 84972511846 scopus 로고
    • Almost Riemannian spaces
    • [PI] Flaut, C., Almost Riemannian spaces. J. Differential Geom. 34, 515-537 (1991).
    • (1991) J. Differential Geom. , vol.34 , pp. 515-537
    • Flaut, C.1
  • 16
    • 0039760677 scopus 로고
    • A metric characterization of manifolds with boundary
    • [P2] Plaut, C., A metric characterization of manifolds with boundary. Compositio Math. 81, 337-354 (1992).
    • (1992) Compositio Math. , vol.81 , pp. 337-354
    • Plaut, C.1
  • 17
    • 84974002531 scopus 로고
    • Metric curvature, convergence, and topological finiteness
    • [P3] Plaut, C. Metric curvature, convergence, and topological finiteness. Duke Math. J. 66, 43-57 (1992).
    • (1992) Duke Math. J. , vol.66 , pp. 43-57
    • Plaut, C.1
  • 19
    • 0000249129 scopus 로고
    • Positively curved manifolds with restricted diameters
    • Academic Press
    • [SY] Shiohama, K., and Yamaguchi, T. Positively curved manifolds with restricted diameters. In Geometry of Manifolds, pp. 345-350, Academic Press, 1989.
    • (1989) Geometry of Manifolds , pp. 345-350
    • Shiohama, K.1    Yamaguchi, T.2
  • 20
    • 0010718675 scopus 로고
    • Bergründung einer koordinatenlosen Differentialgeometrie der Flächen
    • [W] Wald, A., Bergründung einer koordinatenlosen Differentialgeometrie der Flächen. Ergebnisse eines mathematischen Kolloquiums 7, 24-46 (1935).
    • (1935) Ergebnisse eines Mathematischen Kolloquiums , vol.7 , pp. 24-46
    • Wald, A.1
  • 21
    • 0000269280 scopus 로고
    • Collapsing and pinching under a lower curvature bound
    • [Y] Yamaguchi, T. Collapsing and pinching under a lower curvature bound. Ann. of Math. 133, 317-357 (1991).
    • (1991) Ann. of Math. , vol.133 , pp. 317-357
    • Yamaguchi, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.