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Volumn 8, Issue , 2004, Pages 205-275

Nonpositively curved 2-complexes with isolated flats

Author keywords

Isolated flats; Nonpositive curvature; Quasigeodesics; Thin triangles; Word hyperbolic

Indexed keywords


EID: 4344630003     PISSN: 14653060     EISSN: None     Source Type: Journal    
DOI: 10.2140/gt.2004.8.205     Document Type: Review
Times cited : (16)

References (47)
  • 3
    • 0001038699 scopus 로고
    • Singular spaces of nonpositive curvature
    • (É Ghys, P de la Harpe, editors), Birkhäuser Boston, Boston, MA
    • W Ballmann, Singular spaces of nonpositive curvature, from: "Sur les groupes hyperboliques d'après Mikhael Gromov (Bern, 1988)", (É Ghys, P de la Harpe, editors), Birkhäuser Boston, Boston, MA (1990) 189-201
    • (1990) Sur Les Groupes Hyperboliques d'Après Mikhael Gromov (Bern, 1988) , pp. 189-201
    • 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
  • 5
    • 0000740909 scopus 로고
    • Existence of flat tori in analytic manifolds of nonpositive curvature
    • V Bangert, V Schroeder, Existence of flat tori in analytic manifolds of nonpositive curvature, Ann. Sci. École Norm. Sup. (4) 24 (1991) 605-634
    • (1991) Ann. Sci. École Norm. Sup. , vol.24 , Issue.4 , pp. 605-634
    • Bangert, V.1    Schroeder, V.2
  • 6
    • 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
    • 0002937116 scopus 로고
    • Geodesics and curvature in metric simplicial complexes
    • (É Ghys, A Haefliger, A Verjovsky, editors), World Sci. Publishing, River Edge, NJ
    • M R Bridson, Geodesics and curvature in metric simplicial complexes, from: "Group theory from a geometrical viewpoint (Trieste, 1990)", (É Ghys, A Haefliger, A Verjovsky, editors), World Sci. Publishing, River Edge, NJ (1991) 373-463
    • (1991) Group Theory from a Geometrical Viewpoint (Trieste, 1990) , pp. 373-463
    • Bridson, M.R.1
  • 9
    • 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
  • 11
    • 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
  • 12
    • 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
  • 13
    • 0003718933 scopus 로고
    • Springer-Verlag, New York, translated from the German by J. Stillwell
    • M Dehn, Papers on group theory and topology, Springer-Verlag, New York (1987), translated from the German by J. Stillwell
    • (1987) Papers on Group Theory and Topology
    • Dehn, M.1
  • 14
    • 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
  • 15
  • 17
    • 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
  • 18
    • 0002590953 scopus 로고
    • Reducible diagrams and equations over groups
    • (SM Gersten, editor), Springer, New York
    • S M Gersten, Reducible diagrams and equations over groups, from: "Essays in group theory", (SM Gersten, editor), Springer, New York (1987) 15-73
    • (1987) Essays in Group Theory , pp. 15-73
    • Gersten, S.M.1
  • 19
    • 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
  • 20
    • 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
  • 21
    • 0003195390 scopus 로고
    • Hyperbolic groups
    • (SM Gersten, editor), Springer, New York
    • M Gromov, Hyperbolic groups, from: "Essays in group theory", (SM Gersten, editor), Springer, New York (1987) 75-263
    • (1987) Essays in Group Theory , pp. 75-263
    • Gromov, M.1
  • 26
    • 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
  • 27
    • 0033461334 scopus 로고    scopus 로고
    • Deterministic aperiodic tile sets
    • J Kari, P Papasoglu, Deterministic aperiodic tile sets, Geom. Funct. Anal. 9 (1999) 353-369
    • (1999) Geom. Funct. Anal. , vol.9 , pp. 353-369
    • Kari, J.1    Papasoglu, P.2
  • 28
    • 0542401094 scopus 로고    scopus 로고
    • Quasigeodesics outside horoballs
    • U Lang, Quasigeodesics outside horoballs, Geom. Dedicata 63 (1996) 205-215
    • (1996) Geom. Dedicata , vol.63 , pp. 205-215
    • Lang, U.1
  • 29
    • 34250504760 scopus 로고
    • On Dehn's algorithm
    • R C Lyndon, On Dehn's algorithm, Math. Ann. 166 (1966) 208-228
    • (1966) Math. Ann. , vol.166 , pp. 208-228
    • Lyndon, R.C.1
  • 31
    • 0033473346 scopus 로고    scopus 로고
    • Geometry of the complex of curves. I. Hyperbolicity
    • H A Masur, Y N Minsky, Geometry of the complex of curves. I. Hyperbolicity, Invent. Math. 138 (1999) 103-149
    • (1999) Invent. Math. , vol.138 , pp. 103-149
    • Masur, H.A.1    Minsky, Y.N.2
  • 32
    • 0036579254 scopus 로고    scopus 로고
    • Fans and ladders in small cancellation theory
    • J P McCammond, D T Wise, Fans and ladders in small cancellation theory, Proc. London Math. Soc. (3) 84 (2002) 599-644
    • (2002) Proc. London Math. Soc. , vol.84 , Issue.3 , pp. 599-644
    • McCammond, J.P.1    Wise, D.T.2
  • 33
    • 0001788461 scopus 로고
    • A fundamental class of geodesics on any closed surface of genus greater than one
    • H M Morse, A fundamental class of geodesics on any closed surface of genus greater than one, Trans. Amer. Math. Soc. 26 (1924) 25-60
    • (1924) Trans. Amer. Math. Soc. , vol.26 , pp. 25-60
    • Morse, H.M.1
  • 35
    • 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
  • 36
    • 0004418440 scopus 로고
    • Strongly geodesically automatic groups are hyperbolic
    • P Papasoglu, Strongly geodesically automatic groups are hyperbolic, Invent. Math. 121 (1995) 323-334
    • (1995) Invent. Math. , vol.121 , pp. 323-334
    • Papasoglu, P.1
  • 37
    • 84976069626 scopus 로고
    • Star-complexes, and the dependence problems for hyperbolic complexes
    • S J Pride, Star-complexes, and the dependence problems for hyperbolic complexes, Glasgow Math. J. 30 (1988) 155-170
    • (1988) Glasgow Math. J. , vol.30 , pp. 155-170
    • Pride, S.J.1
  • 41
    • 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
  • 42
    • 0000405796 scopus 로고
    • Convergence groups and Gromov's metric hyperbolic spaces
    • P Tukia, Convergence groups and Gromov's metric hyperbolic spaces, New Zealand J. Math. 23 (1994) 157-187
    • (1994) New Zealand J. Math. , vol.23 , pp. 157-187
    • Tukia, P.1
  • 43
    • 0001594954 scopus 로고
    • On some lemmas in the theory of groups
    • E R van Kampen, On some lemmas in the theory of groups, Amer. J. Math. 55 (1933) 268-273
    • (1933) Amer. J. Math. , vol.55 , pp. 268-273
    • Van Kampen, E.R.1
  • 44
    • 2942727091 scopus 로고
    • The word and conjugacy problems for the knot group of any tame, prime, alternating knot
    • C M Weinbaum, The word and conjugacy problems for the knot group of any tame, prime, alternating knot, Proc. Amer. Math. Soc. 30 (1971) 22-26
    • (1971) Proc. Amer. Math. Soc. , vol.30 , pp. 22-26
    • Weinbaum, C.M.1


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