메뉴 건너뛰기




Volumn 351, Issue 5, 1999, Pages 1765-1801

The limit spaces of two-dimensional manifolds with uniformly bounded integral curvature

Author keywords

[No Author keywords available]

Indexed keywords


EID: 22644448306     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9947-99-02103-0     Document Type: Article
Times cited : (25)

References (24)
  • 1
    • 0003123787 scopus 로고
    • A theorem on triangles in a metric space and some of its applications
    • MR 14:198a
    • A. D. Alexandrov, A theorem on triangles in a metric space and some of its applications, Trudy Mat. Inst. Steklov. 38 (1951), 5-23. MR 14:198a
    • (1951) Trudy Mat. Inst. Steklov. , vol.38 , pp. 5-23
    • Alexandrov, A.D.1
  • 4
    • 0011237435 scopus 로고
    • Intrinsic geometry of surfaces
    • Amer. Math. Soc., Providence, Rhode Island, MR 35:7267
    • A. D. Alexandrov and V. A. Zalgaller, Intrinsic geometry of surfaces, Translations of Mathematical Monographs, vol. 15, Amer. Math. Soc., Providence, Rhode Island, 1967. MR 35:7267
    • (1967) Translations of Mathematical Monographs , vol.15
    • Alexandrov, A.D.1    Zalgaller, V.A.2
  • 5
    • 33646937518 scopus 로고
    • Closure of the class of manifolds of bounded curvature
    • Yu. D. Burago, Closure of the class of manifolds of bounded curvature, Proc. Steklov Inst. Math. 76 (1967), 175-183.
    • (1967) Proc. Steklov Inst. Math. , vol.76 , pp. 175-183
    • Burago, Y.D.1
  • 6
    • 33646864986 scopus 로고
    • A. D. Alexandrov spaces with curvature bounded below
    • MR 93m:53035
    • Yu. D. Burago, M. Gromov, and G. Perelman, A. D. Alexandrov spaces with curvature bounded below, Russian Math. Surveys 47 (1992), no. 2, 1-58. MR 93m:53035
    • (1992) Russian Math. Surveys , vol.47 , Issue.2 , pp. 1-58
    • Burago, Y.D.1    Gromov, M.2    Perelman, G.3
  • 8
    • 30144440343 scopus 로고
    • Approximating compact inner metric spaces by surfaces
    • MR 93i:53042
    • M. Cassorla, Approximating compact inner metric spaces by surfaces, Indiana Univ. Math. J. 41 (1992), 505-513. MR 93i:53042
    • (1992) Indiana Univ. Math. J. , vol.41 , pp. 505-513
    • Cassorla, M.1
  • 10
    • 0040460272 scopus 로고
    • Collapsing of riemannian manifolds and eigenvalues of Laplace operator
    • MR 88d:58125
    • K. Fukaya, Collapsing of riemannian manifolds and eigenvalues of Laplace operator, Invent. Math. 87 (1987), 517-547. MR 88d:58125
    • (1987) Invent. Math. , vol.87 , pp. 517-547
    • Fukaya, K.1
  • 12
    • 0000003902 scopus 로고
    • Geodesic parallel coordinates in the large
    • MR 30:3435
    • P. Hartman, Geodesic parallel coordinates in the large, Amer. J. Math. 86 (1964), 705-727. MR 30:3435
    • (1964) Amer. J. Math. , vol.86 , pp. 705-727
    • Hartman, P.1
  • 14
    • 0013532801 scopus 로고
    • Elements of Morse theory on Alexandrov spaces
    • MR 94h:53054
    • G. Perelman, Elements of Morse theory on Alexandrov spaces, St. Petersburg Math. Jour. 5 (1994), no. 1, 207-214. MR 94h:53054
    • (1994) St. Petersburg Math. Jour. , vol.5 , Issue.1 , pp. 207-214
    • Perelman, G.1
  • 15
    • 0031283628 scopus 로고    scopus 로고
    • Comparison geometry with integral curvature bounds
    • CMP 98:06
    • P. Petersen, S. Shteingold, and G. Wei, Comparison geometry with integral curvature bounds, Geom. Funct. Anal. 7 (1997), no. 6, 1011-1030. CMP 98:06
    • (1997) Geom. Funct. Anal. , vol.7 , Issue.6 , pp. 1011-1030
    • Petersen, P.1    Shteingold, S.2    Wei, G.3
  • 17
    • 0031283631 scopus 로고    scopus 로고
    • Relative volume comparison with integral curvature bounds
    • CMP 98:06
    • Relative volume comparison with integral curvature bounds, Geom. Funct. Anal. 7 (1997), no. 6, 1031-1045. CMP 98:06
    • (1997) Geom. Funct. Anal. , vol.7 , Issue.6 , pp. 1031-1045
  • 18
    • 33646924089 scopus 로고
    • Geomtry IV
    • Yu. G. Reshetnyak (ed.), Springer-Verlag, MR 94i:53038
    • Yu. G. Reshetnyak (ed.), Geomtry IV, Encyclopaedia of Math. Sei., vol. 70, Springer-Verlag, 1993. MR 94i:53038
    • (1993) Encyclopaedia of Math. Sei. , vol.70
  • 19
    • 0003321290 scopus 로고
    • Two-Dimensional Manifolds of Bounded Curvature, 3-163
    • Two-Dimensional Manifolds of Bounded Curvature, 3-163, Vol. 70 of Encyclopaedia of Math. Sei. [18], 1993, pp. 3-163.
    • (1993) Encyclopaedia of Math. Sei. [18] , vol.70 , pp. 3-163
  • 20
    • 0038400630 scopus 로고
    • An isoperimetric problem for infinitely connected complete noncompact surfaces
    • K. Shiohama, ed., Perspectives in Math., Academic Press, MR 91b:53049
    • K. Shiohama and M. Tanaka, An isoperimetric problem for infinitely connected complete noncompact surfaces, Geometry of Manifolds (K. Shiohama, ed.), Perspectives in Math., vol. 8, Academic Press, 1989, pp. 317-343. MR 91b:53049
    • (1989) Geometry of Manifolds , vol.8 , pp. 317-343
    • Shiohama, K.1    Tanaka, M.2
  • 21
    • 33646907761 scopus 로고    scopus 로고
    • The Gromov-Hausdorff limits of two-dimensional manifolds under integral curvature bound
    • Young Wook Kim, Sung-Eun Ko, Yongjin Song, Younggi Choi, eds..
    • T. Shioya, The Gromov-Hausdorff limits of two-dimensional manifolds under integral curvature bound, Geometry and Topology: Proceedings of Workshops in Pure Mathematics, Vol. 16, Part III (1996) (Young Wook Kim, Sung-Eun Ko, Yongjin Song, Younggi Choi, eds.).
    • (1996) Geometry and Topology: Proceedings of Workshops in Pure Mathematics , vol.16 , Issue.PART III
    • Shioya, T.1
  • 22
    • 33646917852 scopus 로고
    • Diameter and area estimates for S2 and P2 with nonnegatively curved metrics
    • Kinokuniya, Tokyo, MR 95h:53055
    • Diameter and area estimates for S2 and P2 with nonnegatively curved metrics, Advanced Studies in Pure Math., vol. 22, Kinokuniya, Tokyo, 1993, pp. 309-319. MR 95h:53055
    • (1993) Advanced Studies in Pure Math. , vol.22 , pp. 309-319
  • 23
    • 85012910396 scopus 로고
    • Un principe de concentration-compacité pour les suites de surfaces riemaniennes
    • MR 92m:53077
    • M. Trojanov, Un principe de concentration-compacité pour les suites de surfaces riemaniennes, Ann. Inst. Henri Poincaré 8 (1991), no. 5, 1-23. MR 92m:53077
    • (1991) Ann. Inst. Henri Poincaré , vol.8 , Issue.5 , pp. 1-23
    • Trojanov, M.1
  • 24
    • 0003111108 scopus 로고
    • Convergence of Riemannian manifolds with integral bounds on curvature I
    • MR 93a:53037
    • D. Yang, Convergence of Riemannian manifolds with integral bounds on curvature I, Ann. Sei. École Norm. Sup. (4) 25 (1992), 77-105. MR 93a:53037
    • (1992) Ann. Sei. École Norm. Sup. , vol.4 , Issue.25 , pp. 77-105
    • Yang, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.