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Volumn 128, Issue 2, 1997, Pages 393-416

Quasi-isometries preserve the geometric decomposition of Haken manifolds

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EID: 0031483699     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002220050145     Document Type: Article
Times cited : (61)

References (21)
  • 1
    • 0003223423 scopus 로고
    • Lectures on spaces of nonpositive curvature
    • Birkhäuser
    • W. Ballmann, Lectures on spaces of nonpositive curvature, DMV-Seminar vol. 25, Birkhäuser 1995.
    • (1995) DMV-Seminar , vol.25
    • Ballmann, W.1
  • 2
    • 48549108260 scopus 로고
    • On Gromov's theorem concerning groups of polynomial growth and elementary logic
    • L. Van den Dries and A.J. Wilkie, On Gromov's theorem concerning groups of polynomial growth and elementary logic, J. of Algebra, Vol. 89 (1984) 349-374.
    • (1984) J. of Algebra , vol.89 , pp. 349-374
    • Van Den Dries, L.1    Wilkie, A.J.2
  • 4
    • 0010674714 scopus 로고
    • Infinite groups as geometric objects
    • M. Gromov, Infinite groups as geometric objects, Proc. ICM Warszawa, Vol. 1 (1984) 385-392.
    • (1984) Proc. ICM Warszawa , vol.1 , pp. 385-392
    • Gromov, M.1
  • 6
    • 0000581872 scopus 로고
    • Seifert fibred spaces in 3-manifolds
    • W. Jaco and P. Shalen, Seifert fibred spaces in 3-manifolds, Mem. Amer. Math. Soc. 220 (1979).
    • (1979) Mem. Amer. Math. Soc. , vol.220
    • Jaco, W.1    Shalen, P.2
  • 7
    • 0003264712 scopus 로고
    • Homotopy equivalences of 3-manifolds with boundary
    • K. Johannson, Homotopy equivalences of 3-manifolds with boundary, Springer LNM 761 (1979).
    • (1979) Springer LNM , vol.761
    • Johannson, K.1
  • 9
    • 0030523270 scopus 로고    scopus 로고
    • Actions of discrete groups on nonpositively curved spaces
    • M. Kapovich and B. Leeb, Actions of discrete groups on nonpositively curved spaces, Math. Annalen, Bd. 306 (1996) 341-352.
    • (1996) Math. Annalen , vol.306 , pp. 341-352
    • Kapovich, M.1    Leeb, B.2
  • 10
    • 0000188441 scopus 로고
    • On asymptotic cones and quasi-isometry classes of fundamental groups of nonpositively curved manifolds
    • M. Kapovich and B. Leeb, On asymptotic cones and quasi-isometry classes of fundamental groups of nonpositively curved manifolds, Geometric and Functional Analysis, vol. 5, no. 3 (1995), 582-603.
    • (1995) Geometric and Functional Analysis , vol.5 , Issue.3 , pp. 582-603
    • Kapovich, M.1    Leeb, B.2
  • 13
    • 0000406387 scopus 로고
    • 3-manifolds with(out) metrics of nonpositive curvatures
    • B. Leeb, 3-manifolds with(out) metrics of nonpositive curvatures, Inventiones Mathematicae, vol. 122 no. 2 (1995), 277-289.
    • (1995) Inventiones Mathematicae , vol.122 , Issue.2 , pp. 277-289
    • Leeb, B.1
  • 15
    • 38249026621 scopus 로고
    • Manifold covers of 3-orbifolds with geometric pieces
    • D. McCullough and A. Miller, Manifold covers of 3-orbifolds with geometric pieces, Topology and its Applications 31 (1989), 169-185.
    • (1989) Topology and Its Applications , vol.31 , pp. 169-185
    • McCullough, D.1    Miller, A.2
  • 16
    • 0041140805 scopus 로고    scopus 로고
    • Le théorème d'hyperbolisation pour les variétés fibrées de dimension trois
    • J.-P. Otal, Le théorème d'hyperbolisation pour les variétés fibrées de dimension trois, Asterisque, 1996.
    • (1996) Asterisque
    • Otal, J.-P.1
  • 18
    • 0038292676 scopus 로고
    • The geometries of 3-manifolds
    • P. Scott, The geometries of 3-manifolds, Bull. London Math. Soc. 15 (1983), 401-487.
    • (1983) Bull. London Math. Soc. , vol.15 , pp. 401-487
    • Scott, P.1
  • 19
    • 51649146590 scopus 로고
    • The quasi-isometry classification of hyperbolic lattices
    • R. Schwartz, The quasi-isometry classification of hyperbolic lattices, Publ. of IHES, vol. 82 (1995) 133-168.
    • (1995) Publ. of IHES , vol.82 , pp. 133-168
    • Schwartz, R.1
  • 20
    • 0001182097 scopus 로고
    • Hyperbolic structures on 3-manifolds, I
    • W. Thurston, Hyperbolic structures on 3-manifolds, I. Annals of Math. 124 (1986), 203-246.
    • (1986) Annals of Math. , vol.124 , pp. 203-246
    • Thurston, W.1
  • 21
    • 23844531006 scopus 로고
    • Homeomorphic conjugates of fuchsian groups
    • P. Tukia, Homeomorphic conjugates of fuchsian groups, J. Reine Angew. Math. 391 (1988), 1-54.
    • (1988) J. Reine Angew. Math. , vol.391 , pp. 1-54
    • Tukia, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.