메뉴 건너뛰기




Volumn 231, Issue 3, 1999, Pages 409-456

The local structure of length spaces with curvature bounded above

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0033432203     PISSN: 00255874     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00004738     Document Type: Article
Times cited : (148)

References (34)
  • 1
    • 0001726657 scopus 로고
    • The Hadamard-Cartan theorem in locally convex metric spaces
    • S. Alexander, R. Bishop, The Hadamard-Cartan theorem in locally convex metric spaces. Enseignement Math. 36 (3-4): 309-320 (1990)
    • (1990) Enseignement Math. , vol.36 , Issue.3-4 , pp. 309-320
    • Alexander, S.1    Bishop, R.2
  • 3
    • 0003123787 scopus 로고
    • A theorem on triangles in a metric space and some applications of it
    • A. D. Aleksandrov, A theorem on triangles in a metric space and some applications of it. Tr. Mat. Inst. Steklov 38: 5-23 (1951)
    • (1951) Tr. Mat. Inst. Steklov , vol.38 , pp. 5-23
    • Aleksandrov, A.D.1
  • 4
    • 0011826872 scopus 로고
    • Existence of flats in manifolds of nonpositive curvature
    • M. Anderson, V. Schroeder, Existence of flats in manifolds of nonpositive curvature. Invent. Math. 85 (2): 303-315 (1986)
    • (1986) Invent. Math. , vol.85 , Issue.2 , pp. 303-315
    • Anderson, M.1    Schroeder, V.2
  • 6
    • 0000217461 scopus 로고
    • Polygonal complexes and combinatorial group theory
    • W. Ballmann, M. Brin, Polygonal complexes and combinatorial group theory. Geometriae Dedicata 50: 165-191 (1994)
    • (1994) Geometriae Dedicata , vol.50 , pp. 165-191
    • Ballmann, W.1    Brin, M.2
  • 7
    • 0013478381 scopus 로고
    • Polyèdre à géométrie locale donnée
    • N. Benakli, Polyèdre à géométrie locale donnée. C. R. Acad. Sci. Paris Sér. I 313 (9): 561-564 (1991)
    • (1991) C. R. Acad. Sci. Paris Sér. I , vol.313 , Issue.9 , pp. 561-564
    • Benakli, N.1
  • 8
    • 0010902095 scopus 로고
    • Borsuk's problem on metrization of a polyhedron
    • V. N. Berestovskiǐ, Borsuk's problem on metrization of a polyhedron. Dokl. Akad. Nauk SSSR 268 (2): 273-277 (1983)
    • (1983) Dokl. Akad. Nauk SSSR , vol.268 , Issue.2 , pp. 273-277
    • Berestovskiǐ, V.N.1
  • 9
    • 84972583778 scopus 로고    scopus 로고
    • Degenerations of the hyperbolic space
    • Mladen Bestvina, Degenerations of the hyperbolic space. Duke Math. J. 56 (1): 143-161, 1998
    • (1998) Duke Math. J. , vol.56 , Issue.1 , pp. 143-161
    • Bestvina, M.1
  • 10
    • 33646864986 scopus 로고
    • A. D. Aleksandrov spaces with curvatures bounded below
    • Yu. Burago, M. Gromov, G. Perelman, A. D. Aleksandrov spaces with curvatures bounded below. Russian Math Surveys 47 (2): 1-58 (1992)
    • (1992) Russian Math Surveys , vol.47 , Issue.2 , pp. 1-58
    • Burago, Y.1    Gromov, M.2    Perelman, G.3
  • 12
    • 0039997822 scopus 로고
    • Minkowskian subspaces of non-positively curved metric spaces
    • B. H. Bowditch, Minkowskian subspaces of non-positively curved metric spaces. Bulletin of the London Mathematical Society 27: 575-584 (1995)
    • (1995) Bulletin of the London Mathematical Society , vol.27 , pp. 575-584
    • Bowditch, B.H.1
  • 14
    • 0000505593 scopus 로고
    • Strict hyperbolization
    • R. Charney, M. Davis, Strict Hyperbolization. Topology 34 (2): 329-350 (1995)
    • (1995) Topology , vol.34 , Issue.2 , pp. 329-350
    • Charney, R.1    Davis, M.2
  • 16
    • 0000155860 scopus 로고
    • Hyperbolic manifolds, groups and actions
    • Princeton Univ. Press
    • M. Gromov, Hyperbolic manifolds, groups and actions. In Riemann surfacs and related topics. Princeton Univ. Press 1978
    • (1978) Riemann Surfacs and Related Topics
    • Gromov, M.1
  • 17
    • 0003195390 scopus 로고
    • Hyperbolic groups
    • In S. Gersten, ed., Springer
    • M. Gromov, Hyperbolic groups. In S. Gersten, ed., Essays in group theory, pp. 75-263. Springer 1987
    • (1987) Essays in Group Theory , pp. 75-263
    • Gromov, M.1
  • 18
    • 0002874575 scopus 로고
    • Asymptotic invariants for infinite groups
    • In Niblo and Roller, eds., London Mathematical Society
    • M. Gromov, Asymptotic invariants for infinite groups. In Niblo and Roller, eds., Geometric group theory. London Mathematical Society 1993
    • (1993) Geometric Group Theory
    • Gromov, M.1
  • 19
    • 0003807472 scopus 로고
    • Princeton University Press Princeton Mathematical Series
    • W. Hurewicz, H. Wallman, Dimension Theory. Princeton University Press 1969, Princeton Mathematical Series
    • (1969) Dimension Theory
    • Hurewicz, W.1    Wallman, H.2
  • 20
    • 0039402054 scopus 로고    scopus 로고
    • Quasi-isometries and the de Rham decomposition
    • M. Kapovich, B. Kleiner, B. Leeb, Quasi-isometries and the de Rham decomposition. Topology 37 (6): 1193-1211 (1998)
    • (1998) Topology , vol.37 , Issue.6 , pp. 1193-1211
    • Kapovich, M.1    Kleiner, B.2    Leeb, B.3
  • 21
    • 0000188441 scopus 로고
    • Asymptotic cones and quasi-isometry classes of fundamental groups of 3-manifolds
    • M. Kapovich, B. Leeb, Asymptotic cones and quasi-isometry classes of fundamental groups of 3-manifolds. GAFA 5 (3): 582-603 (1995)
    • (1995) GAFA , vol.5 , Issue.3 , pp. 582-603
    • Kapovich, M.1    Leeb, B.2
  • 22
    • 0000947931 scopus 로고    scopus 로고
    • Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings
    • B. Kleiner, B. Leeb, Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings. Publ. IHES (86): 115-197 (1997)
    • (1997) Publ. IHES , vol.86 , pp. 115-197
    • Kleiner, B.1    Leeb, B.2
  • 23
    • 0000055983 scopus 로고
    • Sobolev spaces and harmonic maps for metric space targets
    • N. Korevaar, R. Schoen, Sobolev spaces and harmonic maps for metric space targets. Communications in Analysis and Geometry 1 (3-4): 561-659 (1993)
    • (1993) Communications in Analysis and Geometry , vol.1 , Issue.3-4 , pp. 561-659
    • Korevaar, N.1    Schoen, R.2
  • 24
    • 0003297251 scopus 로고
    • Strong rigidity of locally symmetric spaces
    • G. D. Mostow, Strong rigidity of locally symmetric spaces. Ann. of Math. Studies, 78 1973
    • (1973) Ann. of Math. Studies , vol.78
    • Mostow, G.D.1
  • 25
    • 0000181446 scopus 로고
    • Valuations, trees, and degenerations of hyperbolic structures
    • J. W. Morgan, P. B. Shalen, Valuations, trees, and degenerations of hyperbolic structures. Ann. of Math. 120 (3): 401-476 (1984)
    • (1984) Ann. of Math. , vol.120 , Issue.3 , pp. 401-476
    • Morgan, J.W.1    Shalen, P.B.2
  • 27
    • 0002832883 scopus 로고
    • Topologie de Gromov équivariante, structures hyperboliques et arbres réels
    • F. Paulin. Topologie de Gromov équivariante, structures hyperboliques et arbres réels. Invent. Math. 94 (1): 53-80 (1988)
    • (1988) Invent. Math. , vol.94 , Issue.1 , pp. 53-80
    • Paulin, F.1
  • 28
    • 0013532801 scopus 로고
    • Elements of morse theory on aleksandrov spaces
    • G. Ya. Perelman, Elements of Morse theory on Aleksandrov spaces. Algebra i Analiz 5 (1): 205-213 (1994)
    • (1994) Algebra I Analiz , vol.5 , Issue.1 , pp. 205-213
    • Perelman, G.Y.1
  • 29
    • 0012694834 scopus 로고
    • Die innere geometrie der metrischen räume
    • Springer-Verlag
    • W. Rinow, Die innere Geometrie der metrischen Räume, volume 105 of Grund. Math. Wiss. Springer-Verlag 1961
    • (1961) Grund. Math. Wiss. , vol.105
    • Rinow, W.1
  • 30
    • 0003269085 scopus 로고
    • Lectures on buildings
    • Academic Press
    • M. Ronan, Lectures on Buildings, volume 7 of Perspectives in Mathematics, Academic Press 1989
    • (1989) Perspectives in Mathematics , vol.7
    • Ronan, M.1
  • 31
    • 0001580237 scopus 로고
    • Structure and rigidity in hyperbolic groups
    • E. Rips, Z. Sela, Structure and rigidity in hyperbolic groups. Geom. Funct. Anal. 4 (3): 337-371 (1994)
    • (1994) Geom. Funct. Anal. , vol.4 , Issue.3 , pp. 337-371
    • Rips, E.1    Sela, Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.