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Volumn 9, Issue , 2005, Pages

Hadamard spaces with isolated flats

Author keywords

Asymptotic cone; Isolated flats; Relative hyperbolicity

Indexed keywords


EID: 24144434940     PISSN: 14653060     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (91)

References (47)
  • 1
    • 0000712628 scopus 로고
    • Geometric curvature bounds in Riemannian manifolds with boundary
    • S B Alexander, ID Berg, R L Bishop, Geometric curvature bounds in Riemannian manifolds with boundary, Trans. Amer. Math. Soc. 339 (1993) 703-716
    • (1993) Trans. Amer. Math. Soc. , vol.339 , pp. 703-716
    • Alexander, S.B.1    Berg, I.D.2    Bishop, R.L.3
  • 3
    • 0003223423 scopus 로고
    • Lectures on spaces of nonpositive curvature
    • with an appendix by M Brin, Birkhäuser Verlag, Basel
    • W Ballmann, Lectures on spaces of nonpositive curvature, volume 25 of DMV Seminar, with an appendix by M Brin, Birkhäuser Verlag, Basel (1995)
    • (1995) DMV Seminar , vol.25
    • Ballmann, W.1
  • 4
    • 0000217461 scopus 로고
    • Polygonal complexes and combinatorial group theory
    • W Ballmann. M Brin, Polygonal complexes and combinatorial group theory, Geom. Dedicata 50 (1994) 165-191
    • (1994) Geom. Dedicata , vol.50 , pp. 165-191
    • Ballmann, W.1    Brin, M.2
  • 6
    • 0344261780 scopus 로고    scopus 로고
    • On groups acting on nonpositively curved cubical complexes
    • W Ballmann, J Świa̧tkowski, On groups acting on nonpositively curved cubical complexes, Enseign. Math. (2) 45 (1999) 51-81
    • (1999) Enseign. Math. (2) , vol.45 , pp. 51-81
    • Ballmann, W.1    Świa̧tkowski, J.2
  • 7
    • 4344647852 scopus 로고
    • Polygonal complexes. I. Combinatorial and geometric properties
    • N Benakli, Polygonal complexes. I. Combinatorial and geometric properties, J. Pure Appl. Algebra 97 (1994) 247-263
    • (1994) J. Pure Appl. Algebra , vol.97 , pp. 247-263
    • Benakli, N.1
  • 8
    • 0000726038 scopus 로고
    • Geometrical finiteness for hyperbolic groups
    • B H Bowditch, Geometrical finiteness for hyperbolic groups, J. Funct. Anal. 113 (1993) 245-317
    • (1993) J. Funct. Anal. , vol.113 , pp. 245-317
    • Bowditch, B.H.1
  • 10
    • 84966250476 scopus 로고
    • On the existence of flat planes in spaces of nonpositive curvature
    • M R Bridson, On the existence of flat planes in spaces of nonpositive curvature, Proc. Amer. Math. Soc. 123 (1995) 223-235
    • (1995) Proc. Amer. Math. Soc. , vol.123 , pp. 223-235
    • Bridson, M.R.1
  • 12
    • 0011570294 scopus 로고    scopus 로고
    • Geodesics in Hadamard spaces
    • S V Buyalo, Geodesics in Hadamard spaces, Algebra i Analiz 10 (1998) 93-123;
    • (1998) Algebra i Analiz , vol.10 , pp. 93-123
    • Buyalo, S.V.1
  • 13
    • 0011570294 scopus 로고    scopus 로고
    • English translation in
    • English translation in St. Petersburg Math. J. 10 (1999) 293-313
    • (1999) St. Petersburg Math. J. , vol.10 , pp. 293-313
  • 14
    • 23744485363 scopus 로고    scopus 로고
    • Some geometric groups with Rapid Decay
    • I Chatterji, K Ruane. Some geometric groups with Rapid Decay, Geom. Funct. Anal. 15 (2005) 311-339
    • (2005) Geom. Funct. Anal. , vol.15 , pp. 311-339
    • Chatterji, I.1    Ruane, K.2
  • 15
    • 0034179001 scopus 로고    scopus 로고
    • Spaces with nonpositive curvature and their ideal boundaries
    • C B Croke, B Kleiner, Spaces with nonpositive curvature and their ideal boundaries, Topology 39 (2000) 549-556
    • (2000) Topology , vol.39 , pp. 549-556
    • Croke, C.B.1    Kleiner, B.2
  • 16
    • 0035995734 scopus 로고    scopus 로고
    • The geodesic flow of a nonpositively curved graph manifold
    • C B Croke, B Kleiner, The geodesic flow of a nonpositively curved graph manifold, Geom. Funct. Anal. 12 (2002) 479-545
    • (2002) Geom. Funct. Anal. , vol.12 , pp. 479-545
    • Croke, C.B.1    Kleiner, B.2
  • 17
    • 20444459162 scopus 로고    scopus 로고
    • Relatively hyperbolic groups with Rapid Decay property
    • C Drutu, M Sapir, Relatively hyperbolic groups with Rapid Decay property, Int. Math. Res. Not. (2005) 1181-1194
    • (2005) Int. Math. Res. Not. , pp. 1181-1194
    • Drutu, C.1    Sapir, M.2
  • 18
    • 22144436302 scopus 로고    scopus 로고
    • Tree-graded spaces and asymptotic cones of groups
    • with an appendix by D Osin and M Sapir
    • C Drutu, M Sapir, Tree-graded spaces and asymptotic cones of groups, with an appendix by D Osin and M Sapir, Topology 44 (2005) 959-1058
    • (2005) Topology , vol.44 , pp. 959-1058
    • Drutu, C.1    Sapir, M.2
  • 19
    • 84967713028 scopus 로고
    • Geodesic flows on negatively curved manifolds. II
    • P Eberlein, Geodesic flows on negatively curved manifolds. II, Trans. Amer. Math. Soc. 178 (1973) 57-82
    • (1973) Trans. Amer. Math. Soc. , vol.178 , pp. 57-82
    • Eberlein, P.1
  • 21
    • 0032221787 scopus 로고    scopus 로고
    • Relatively hyperbolic groups
    • B Farb, Relatively hyperbolic groups, Geom. Funct. Anal. 8 (1998) 810-840
    • (1998) Geom. Funct. Anal. , vol.8 , pp. 810-840
    • Farb, B.1
  • 22
    • 0000427680 scopus 로고
    • Small cancellation theory and automatic groups
    • S M Gersten, H B Short, Small cancellation theory and automatic groups, Invent. Math. 102 (1990) 305-334
    • (1990) Invent. Math. , vol.102 , pp. 305-334
    • Gersten, S.M.1    Short, H.B.2
  • 23
    • 34249925277 scopus 로고
    • Small cancellation theory and automatic groups. II
    • S M Gersten, H B Short, Small cancellation theory and automatic groups. II, Invent. Math. 105 (1991) 641-662
    • (1991) Invent. Math. , vol.105 , pp. 641-662
    • Gersten, S.M.1    Short, H.B.2
  • 24
    • 0000155860 scopus 로고
    • Hyperbolic manifolds, groups and actions
    • "Riemann surfaces and related topics: Proceedings of the 1978 Stony Brook Conference (State Univ. New York, Stony Brook, N.Y., 1978)", (I Kra, B Maskit, editors), Princeton Univ. Press, Princeton, N.J.
    • M Gromov, Hyperbolic manifolds, groups and actions, from: "Riemann surfaces and related topics: Proceedings of the 1978 Stony Brook Conference (State Univ. New York, Stony Brook, N.Y., 1978)", (I Kra, B Maskit, editors), Ann. of Math. Stud. 97, Princeton Univ. Press, Princeton, N.J. (1981) 183-213
    • (1981) Ann. of Math. Stud. , vol.97 , pp. 183-213
    • Gromov, M.1
  • 25
    • 0003195390 scopus 로고
    • Hyperbolic groups
    • (S M Gersten, editor), Springer, New York
    • M Gromov, Hyperbolic groups, from: "Essays in group theory", (S M Gersten, editor), Springer, New York (1987) 75-263
    • (1987) Essays in Group Theory , pp. 75-263
    • Gromov, M.1
  • 26
    • 0002874575 scopus 로고
    • Asymptotic invariants of infinite groups
    • (G A Niblo, MA Roller, editors), Cambridge Univ. Press, Cambridge
    • M Gromov, Asymptotic invariants of infinite groups, from: "Geometric group theory, Vol. 2 (Sussex, 1991)", (G A Niblo, MA Roller, editors), Cambridge Univ. Press, Cambridge (1993) 1-295
    • (1993) Geometric Group Theory, Vol. 2 (Sussex, 1991) , vol.2 , pp. 1-295
    • Gromov, M.1
  • 30
    • 24144463919 scopus 로고    scopus 로고
    • Large scale geometry of 4 -dimensional closed nonpositively curved real analytic manifolds
    • M A Hindawi, Large scale geometry of 4 -dimensional closed nonpositively curved real analytic manifolds, Int. Math. Res. Not. (2005) 1803-1815
    • (2005) Int. Math. Res. Not. , pp. 1803-1815
    • Hindawi, M.A.1
  • 31
    • 4344630003 scopus 로고    scopus 로고
    • Nonpositively curved 2 -complexes with isolated flats
    • G C Hruska, Nonpositively curved 2 -complexes with isolated flats, Geom. Topol. 8 (2004) 205-275
    • (2004) Geom. Topol. , vol.8 , pp. 205-275
    • Hruska, G.C.1
  • 32
    • 12444319410 scopus 로고    scopus 로고
    • Geometric invariants of spaces with isolated flats
    • G C Hruska, Geometric invariants of spaces with isolated flats, Topology 44 (2005) 441-458
    • (2005) Topology , vol.44 , pp. 441-458
    • Hruska, G.C.1
  • 33
    • 0000188441 scopus 로고
    • On asymptotic cones and quasi-isometry classes of fundamental groups of 3-manifolds
    • M Kapovich, B Leeb, On asymptotic cones and quasi-isometry classes of fundamental groups of 3-manifolds, Geom. Funct. Anal. 5 (1995) 582-603
    • (1995) Geom. Funct. Anal. , vol.5 , pp. 582-603
    • Kapovich, M.1    Leeb, B.2
  • 34
    • 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, Inst. Hautes Études Sci. Publ. Math. 86 (1997) 115-197
    • (1997) Inst. Hautes Études Sci. Publ. Math. , vol.86 , pp. 115-197
    • Kleiner, B.1    Leeb, B.2
  • 37
    • 0032058777 scopus 로고    scopus 로고
    • The geometry of cube complexes and the complexity of their fundamental groups
    • G A Niblo, L D Reeves, The geometry of cube complexes and the complexity of their fundamental groups, Topology 37 (1998) 621-633
    • (1998) Topology , vol.37 , pp. 621-633
    • Niblo, G.A.1    Reeves, L.D.2
  • 38
    • 85009810254 scopus 로고    scopus 로고
    • Relatively hyperbolic groups: Intrinsic geometry, algebraic properties, and algorithmic problems
    • to appear in arXiv:math.GR/0404040
    • D V Osin, Relatively hyperbolic groups: Intrinsic geometry, algebraic properties, and algorithmic problems, to appear in Mem. Amer. Math. Soc. arXiv:math.GR/0404040
    • Mem. Amer. Math. Soc.
    • Osin, D.V.1
  • 41
  • 42
    • 0001464286 scopus 로고
    • Quasiconvexity and a theorem of Howson's
    • (É Ghys, A Haefliger, A Verjovsky, editors), World Sci. Publishing, River Edge, NJ
    • H Short, Quasiconvexity and a theorem of Howson's, from: "Group theory from a geometrical viewpoint (Trieste, 1990)", (É Ghys, A Haefliger, A Verjovsky, editors), World Sci. Publishing, River Edge, NJ (1991) 168-176
    • (1991) Group Theory from a Geometrical Viewpoint (Trieste, 1990) , pp. 168-176
    • Short, H.1
  • 43
    • 21644456225 scopus 로고    scopus 로고
    • A CAT(0) group with uncountably many distinct boundaries
    • J M Wilson, A CAT(0) group with uncountably many distinct boundaries, J. Group Theory 8 (2005) 229-238
    • (2005) J. Group Theory , vol.8 , pp. 229-238
    • Wilson, J.M.1
  • 44
    • 33645953336 scopus 로고    scopus 로고
    • Subgroup separability of the figure 8 knot group
    • to appear in
    • D T Wise, Subgroup separability of the figure 8 knot group, to appear in Topology
    • Topology
    • Wise, D.T.1
  • 46
    • 23844460872 scopus 로고    scopus 로고
    • Groups acting on CAT(O) square complexes
    • X Xie, Groups acting on CAT(O) square complexes, Geom. Dedicata 109 (2004) 59-88
    • (2004) Geom. Dedicata , vol.109 , pp. 59-88
    • Xie, X.1
  • 47
    • 0344082838 scopus 로고    scopus 로고
    • Tits alternative for closed real analytic 4-manifolds of nonpositive curvature
    • X Xie, Tits alternative for closed real analytic 4-manifolds of nonpositive curvature, Topology Appl. 136 (2004) 87-121
    • (2004) Topology Appl. , vol.136 , pp. 87-121
    • Xie, X.1


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