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Volumn 81, Issue 2, 2006, Pages 305-335

Fixed point sets of parabolic isometrics of CAT(0)-spaces

Author keywords

CAT( ) space; Ideal boundary; Parabolic isometry; Tits metric

Indexed keywords


EID: 33750914862     PISSN: 00102571     EISSN: 14208946     Source Type: Journal    
DOI: 10.4171/CMH/54     Document Type: Article
Times cited : (26)

References (14)
  • 3
    • 0003810732 scopus 로고    scopus 로고
    • [BH] Grundlehren Math. Wiss. 319, Springer-Verlag, Berlin Zbl 0988.53001 MR 1744486
    • [BH] M. R. Bridson and A. Haefliger, Metric spaces of non-positive curvature. Grundlehren Math. Wiss. 319, Springer-Verlag, Berlin 1999. Zbl 0988.53001 MR 1744486
    • (1999) Metric Spaces of Non-positive Curvature
    • Bridson, M.R.1    Haefliger, A.2
  • 4
    • 0037845117 scopus 로고    scopus 로고
    • [BBI] Grad. Stud, in Math. 33, Amer. Math. Soc., Providence, RI, . Zbl 0981.51016 MR 1835418
    • [BBI] D. Burago, Yu. Burago, and S. Ivanov, A course in metric geometry. Grad. Stud, in Math. 33, Amer. Math. Soc., Providence, RI, 2001. Zbl 0981.51016 MR 1835418
    • (2001) A Course in Metric Geometry
    • Burago, D.1    Burago, Yu.2    Ivanov, S.3
  • 5
    • 0011570294 scopus 로고    scopus 로고
    • Geodesics in Hadamard spaces
    • [Bu] . Zbl 0918.53018 MR 1629391
    • [Bu] S. V. Buyalo, Geodesics in Hadamard spaces. St. Petersburg Math. J. 10 (1999), 293-313. Zbl 0918.53018 MR 1629391
    • (1999) St. Petersburg Math. J. , vol.10 , pp. 293-313
    • Buyalo, S.V.1
  • 6
    • 0003635644 scopus 로고    scopus 로고
    • [E] Chicago Lectures in Mathematics, The University of Chicago Press, Chicago, IL, . Zbl 0883.53003 MR 1441541
    • [E] P. Eberlein, Geometry of nonpositively curved manifolds, Chicago Lectures in Mathematics, The University of Chicago Press, Chicago, IL, 1996. Zbl 0883.53003 MR 1441541
    • (1996) Geometry of Nonpositively Curved Manifolds
    • Eberlein, P.1
  • 7
    • 0002430423 scopus 로고
    • The fundamentals of dimension theory
    • [F] Encyclopaedia Math. Sci. 17, Springer-Verlag, Berlin Zbl 0780.54034 MR 1077251
    • [F] V. V. Fedorchuk, The fundamentals of dimension theory. In General Topology I, Encyclopaedia Math. Sci. 17, Springer-Verlag, Berlin 1990, 91-192. Zbl 0780.54034 MR 1077251
    • (1990) General Topology i , pp. 91-192
    • Fedorchuk, V.V.1
  • 8
    • 25444509726 scopus 로고    scopus 로고
    • Parabolic isometrics of CAT(0) spaces and CAT(0)-dimension
    • [FSY] (electronic). Zbl 02139842 MR 2100684
    • [FSY] K. Fujiwara, T. Shioya, and S. Yamagata, Parabolic isometrics of CAT(0) spaces and CAT(0)-dimension. Algebr. Geom. Topol 4 (2004), 861-892 (electronic). Zbl 02139842 MR 2100684
    • (2004) Algebr. Geom. Topol , vol.4 , pp. 861-892
    • Fujiwara, K.1    Shioya, T.2    Yamagata, S.3
  • 9
    • 0041738386 scopus 로고    scopus 로고
    • Nonlinear Dirichlet forms
    • [J] AMS/IP Stud. Adv. Math. 8, Amer. Math. Soc., Providence, RI, . Zbl 0914.31006 MR 1652278
    • [J] J. Jost, Nonlinear Dirichlet forms. In New directions in Dirichlet forms, AMS/IP Stud. Adv. Math. 8, Amer. Math. Soc., Providence, RI, 1998, 1-47. Zbl 0914.31006 MR 1652278
    • (1998) New Directions in Dirichlet Forms , pp. 1-47
    • Jost, J.1
  • 10
    • 0033432203 scopus 로고    scopus 로고
    • The local structure of length spaces with curvature bounded above
    • [K] Zbl 0940.53024 MR 1704987
    • [K] B. Kleiner, The local structure of length spaces with curvature bounded above. Math. Z. 231 (1999), 409-456. Zbl 0940.53024 MR 1704987
    • (1999) Math. Z. , vol.231 , pp. 409-456
    • Kleiner, B.1
  • 11
    • 0031285540 scopus 로고    scopus 로고
    • Kirszbraun's theorem and metric spaces of bounded curvature
    • [LS1] Zbl 0891.53046 MR 1466337
    • [LS1] U. Lang and V. Schroeder, Kirszbraun's theorem and metric spaces of bounded curvature. Geom. Funct. Anal. 7 (1997), 535-560. Zbl 0891.53046 MR 1466337
    • (1997) Geom. Funct. Anal. , vol.7 , pp. 535-560
    • Lang, U.1    Schroeder, V.2
  • 12
    • 0040499101 scopus 로고    scopus 로고
    • Jung's theorem for Alexandrov spaces of curvature bounded above
    • [LS2] _, . Zbl 0974.53028 MR 1456512
    • [LS2] _, Jung's theorem for Alexandrov spaces of curvature bounded above. Ann. Global Anal. Geom. 15 (1997), 263-275. Zbl 0974.53028 MR 1456512
    • (1997) Ann. Global Anal. Geom. , vol.15 , pp. 263-275
  • 13
    • 24944568264 scopus 로고    scopus 로고
    • Rigidity of spherical buildings and joins
    • [L]
    • [L] A. Lytchak, Rigidity of spherical buildings and joins. Geom. Funct. Anal. 15 (2005), 720-752.
    • (2005) Geom. Funct. Anal. , vol.15 , pp. 720-752
    • Lytchak, A.1
  • 14
    • 0043241101 scopus 로고    scopus 로고
    • Gradient flows on nonpositively curved metric spaces and harmonic maps
    • [M] Zbl 0914.58008 MR 1651416
    • [M] U. Mayer, Gradient flows on nonpositively curved metric spaces and harmonic maps. Comm. Anal. Geom. 6 (1998), 199-253. Zbl 0914.58008 MR 1651416
    • (1998) Comm. Anal. Geom. , vol.6 , pp. 199-253
    • Mayer, U.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.