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Volumn 235, Issue , 1996, Pages 152-155

le théorème d'hyperbolisation pour les variétés fibrées de dimension 3

(1)  Otal, Jean Pierre a  

a NONE

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EID: 0041140805     PISSN: 03031179     EISSN: None     Source Type: Book Series    
DOI: None     Document Type: Article
Times cited : (160)

References (61)
  • 1
    • 0000553024 scopus 로고
    • Finitely generated kleinian groups
    • [Ahll]
    • [Ahll] L. Ahlfors, Finitely generated kleinian groups, Amer. J. Math. 86 (1964)413-429;
    • (1964) Amer. J. Math. , vol.86 , pp. 413-42987
    • Ahlfors, L.1
  • 6
    • 0001146280 scopus 로고
    • On boundaries of Teichmüller spaces and on kleinian groups
    • [Ber]
    • [Ber] L. Bers, On boundaries of Teichmüller spaces and on kleinian groups, Ann. of Math. 91 (1970), 570-600.
    • (1970) Ann. of Math. , vol.91 , pp. 570-600
    • Bers, L.1
  • 7
    • 84972583778 scopus 로고
    • Degenerations of the hyperbolic space
    • [Bes]
    • [Bes] M. Bestvina, Degenerations of the hyperbolic space, Duke Math. J. 56 (1988), 143-161.
    • (1988) Duke Math. J. , vol.56 , pp. 143-161
    • Bestvina, M.1
  • 8
    • 0002437863 scopus 로고
    • Bouts des variétés hyperboliques de dimension 3
    • [Bo]
    • [Bo] F. Bonahon, Bouts des variétés hyperboliques de dimension 3, Ann. of Math. 124 (1986), 71-158.
    • (1986) Ann. of Math. , vol.124 , pp. 71-158
    • Bonahon, F.1
  • 10
    • 84971113615 scopus 로고
    • Abstract length functions in groups
    • [Ch]
    • [Ch] I.M. Chiswell, Abstract length functions in groups, Math. Proc. Cambridge Phil. Soc. 80 (1976), 451-463.
    • (1976) Math. Proc. Cambridge Phil. Soc. , vol.80 , pp. 451-463
    • Chiswell, I.M.1
  • 12
    • 0001034704 scopus 로고
    • Varieties of group representations and splittings of 3-manifolds
    • [CS]
    • [CS] M. Culler, P. Shalen, Varieties of group representations and splittings of 3-manifolds, Ann. of Math. 117 (1983), 109-146.
    • (1983) Ann. of Math. , vol.117 , pp. 109-146
    • Culler, M.1    Shalen, P.2
  • 13
    • 0002304365 scopus 로고
    • Travaux de Thurston sur les surfaces
    • [FLP]
    • [FLP] A. Fathi, F. Laudenbach, V. Poenaru, -"Travaux de Thurston sur les surfaces", Astérisque 66-67 (1979).
    • (1979) Astérisque , pp. 66-67
    • Fathi, A.1    Laudenbach, F.2    Poenaru, V.3
  • 14
    • 33747462641 scopus 로고
    • [GM] video tape, A.K. Peters, Wellesley MA, USA
    • [GM] C. Gunn, D. Maxwell, "Not knot", video tape, A.K. Peters, Wellesley MA, USA 1991.
    • (1991) Not Knot
    • Gunn, C.1    Maxwell, D.2
  • 17
    • 33747509009 scopus 로고
    • Symétrie fibered links, in "Knots, groups and 3-manifolds
    • [Go] Princeton
    • [Go] D. Goldsmith, Symétrie fibered links, in "Knots, groups and 3-manifolds", Ann. of Math. Studies 84 (1977), Princeton.
    • (1977) Ann. of Math. Studies , vol.84
    • Goldsmith, D.1
  • 18
  • 20
    • 0000581872 scopus 로고
    • Seifert fibered spaces in 3-manifolds
    • [JS]
    • [JS] W. Jaco, P. Shalen, "Seifert fibered spaces in 3-manifolds", Memoirs of the AMS, 220, 1979.
    • (1979) Memoirs of the AMS , vol.220
    • Jaco, W.1    Shalen, P.2
  • 21
    • 0003264712 scopus 로고
    • Homotopy equivalence of 3-manifolds with boundary
    • [Joh]
    • [Joh] K. Johannson, "Homotopy equivalence of 3-manifolds with boundary", Lecture Notes in Math., 761, 1979.
    • (1979) Lecture Notes in Math. , vol.761
    • Johannson, K.1
  • 22
    • 0002945497 scopus 로고
    • On 3-manifolds fibering over the circle
    • [Jor]
    • [Jor] T. Jorgensen, On 3-manifolds fibering over the circle, Ann. of Math. 106 (1977), 61-72.
    • (1977) Ann. of Math. , vol.106 , pp. 61-72
    • Jorgensen, T.1
  • 25
    • 0002303035 scopus 로고
    • Non-continuity of the action of the mapping class group at Bers's boundary of Teichmüller space
    • [KT]
    • [KT] S.P. Kerckhoff, W.P. Thurston, Non-continuity of the action of the mapping class group at Bers's boundary of Teichmüller space, Invent. Math. 100 (1990), 25-47.
    • (1990) Invent. Math. , vol.100 , pp. 25-47
    • Kerckhoff, S.P.1    Thurston, W.P.2
  • 28
    • 0004220859 scopus 로고
    • [Mas] Springer Verlag, Berlin
    • [Mas] B. Maskit, "Kleinian groups", Springer Verlag, Berlin 1988.
    • (1988) Kleinian Groups
    • Maskit, B.1
  • 29
    • 0002249763 scopus 로고
    • Hyperbolic geometry: The first 150 years
    • [Mi]
    • [Mi] J. Milnor, Hyperbolic geometry: the first 150 years, Bull. Amer. Math. Soc. 6 (1982), 9-25.
    • (1982) Bull. Amer. Math. Soc. , vol.6 , pp. 9-25
    • Milnor, J.1
  • 30
    • 0002828330 scopus 로고
    • Iteration on Teichmüller space
    • [McMl]
    • [McMl] C. McMullen, Iteration on Teichmüller space, Invent. Math. 97 (1989), 95-127.
    • (1989) Invent. Math. , vol.97 , pp. 95-127
    • McMullen, C.1
  • 32
    • 33745453169 scopus 로고
    • On Thurston's uniformization theorem for three-dimensional manifolds
    • [Morl] edited by H. Bass et J.W. Morgan, Academic Press
    • [Morl] J.W. Morgan, On Thurston's uniformization theorem for three-dimensional manifolds, in "The Smith conjecture", edited by H. Bass et J.W. Morgan, Academic Press (1984), 37-125.
    • (1984) The Smith Conjecture , pp. 37-125
    • Morgan, J.W.1
  • 33
    • 0002999395 scopus 로고
    • Group actions on trees and compactification of the space of classes of SOn, representations
    • [Mor2]
    • [Mor2] J.W. Morgan, Group actions on trees and compactification of the space of classes of SOn, representations, Topology 25 (1986), 1-33.
    • (1986) Topology , vol.25 , pp. 1-33
    • Morgan, J.W.1
  • 34
    • 51249168650 scopus 로고
    • Relative growth rate of closed geodesies on a surface under varying hyperbolic structures
    • [MO]
    • [MO] J.W. Morgan, J.-P. Otal, Relative growth rate of closed geodesies on a surface under varying hyperbolic structures, Comm. Math. Helv. 68 (1993), 171-208.
    • (1993) Comm. Math. Helv. , vol.68 , pp. 171-208
    • Morgan, J.W.1    Otal, J.-P.2
  • 35
    • 0010053961 scopus 로고
    • Valuations, trees and degeneration of hyperbolic structures
    • [MSI]
    • [MSI] J.W. Morgan, P. Shalen, Valuations, trees and degeneration of hyperbolic structures, Ann. of Math. 122 (1985), 398-476.
    • (1985) Ann. of Math. , vol.122 , pp. 398-476
    • Morgan, J.W.1    Shalen, P.2
  • 36
    • 0001339805 scopus 로고
    • Free actions of surface groups on R-trees
    • [MS2]
    • [MS2] J.W. Morgan, P. Shalen, Free actions of surface groups on R-trees, Topology 30 (1991), 143-154.
    • (1991) Topology , vol.30 , pp. 143-154
    • Morgan, J.W.1    Shalen, P.2
  • 37
    • 0003297251 scopus 로고
    • Strong rigidity of locally symétrie spaces
    • [Mos] Princeton
    • [Mos] G.D. Mostow, "Strong rigidity of locally symétrie spaces", Ann. of Math. Studies 78 (1973), Princeton.
    • (1973) Ann. of Math. Studies , vol.78
    • Mostow, G.D.1
  • 38
    • 84973997572 scopus 로고
    • Sur la dégénérescence des groupes de Schottky
    • [O]
    • [O] J.-P. Otal, Sur la dégénérescence des groupes de Schottky, Duke Math. J. 74, (1994), 777-792.
    • (1994) Duke Math. J. , vol.74 , pp. 777-792
    • Otal, J.-P.1
  • 40
    • 0002832883 scopus 로고
    • Topologie de Gromov équivariante, structures hyperboliques et arbres réels
    • [Pa]
    • [Pa] F. Paulin, Topologie de Gromov équivariante, structures hyperboliques et arbres réels, Invent. Math. 94 (1988), 53-80.
    • (1988) Invent. Math. , vol.94 , pp. 53-80
    • Paulin, F.1
  • 41
    • 0003362027 scopus 로고
    • Combinatorics of train tracks
    • [Pe] Princeton
    • [Pe] R. Penner, "Combinatorics of train tracks", Annals of Math. Studies 125 (1992), Princeton.
    • (1992) Annals of Math. Studies , vol.125
    • Penner, R.1
  • 42
    • 0002604975 scopus 로고
    • An alternative approach to the ergodic theory of measured foliations on surfaces
    • [Re]
    • [Re] M. Rees, An alternative approach to the ergodic theory of measured foliations on surfaces, Ergod. Theory and Dynam. Sys. 1 (1981), 461-488.
    • (1981) Ergod. Theory and Dynam. Sys. , vol.1 , pp. 461-488
    • Rees, M.1
  • 43
    • 84975966715 scopus 로고
    • A quadratic parabolic group
    • [Ri]
    • [Ri] R. Riley, A quadratic parabolic group, Math. Proc. Cambridge Phil. Soc. 77 (1975), 281-288.
    • (1975) Math. Proc. Cambridge Phil. Soc. , vol.77 , pp. 281-288
    • Riley, R.1
  • 45
    • 0001209876 scopus 로고
    • Theorie der homogenen zusammengesetzten Raumgebilde
    • [Schi]
    • [Schi] V. Schlegel, Theorie der homogenen zusammengesetzten Raumgebilde, Nova Acta Leop. Carol. 44 (1883), 343-459.
    • (1883) Nova Acta Leop. Carol. , vol.44 , pp. 343-459
    • Schlegel, V.1
  • 47
    • 0000597814 scopus 로고
    • On discontinuous groups in higher-dimensional symmetric spaces, pages 147-164
    • [Sel] Tata Institute, Bombay
    • [Sel] A. Selberg, On discontinuous groups in higher-dimensional symmetric spaces, pages 147-164, in "Contributions to function theory", Tata Institute, Bombay 1960.
    • (1960) Contributions to Function Theory
    • Selberg, A.1
  • 48
    • 0003117420 scopus 로고
    • Arbres, amalgames, SL2
    • [Ser]
    • [Ser] J.-P. Serre, "Arbres, amalgames, SL2", Astérisque 46 (1977).
    • (1977) Astérisque , vol.46
    • Serre, J.-P.1
  • 49
    • 84968468173 scopus 로고
    • Splittings of surfaces
    • [Sk] prepublication 1989 (Columbia Univ.?).
    • [Sk] R.K. Skora, Splittings of surfaces, Bull. Amer. Math. Soc. 23 (1990), 85-90; prepublication 1989 (Columbia Univ.?).
    • (1990) Bull. Amer. Math. Soc. , vol.23 , pp. 85-90
    • Skora, R.K.1
  • 50
  • 52
    • 0001170840 scopus 로고
    • Travaux de Thurston sur les groupes quasi-fuchsiens et sur les variétés hyperboliques de dimension 3 fibrées sur le cercle
    • [Sul] Springer Lectures Notes 842 Springer Verlag, Berlin
    • [Sul] D. Sullivan, Travaux de Thurston sur les groupes quasi-fuchsiens et sur les variétés hyperboliques de dimension 3 fibrées sur le cercle, Séminaire Bourbaki n°554, Springer Lectures Notes 842 (1981), Springer Verlag, Berlin.
    • (1981) Séminaire Bourbaki N°554
    • Sullivan, D.1
  • 54
    • 0000948719 scopus 로고
    • On the ergodic theory at infinity of an arbitrary discrete group of hyperbolic motions
    • [Su3] Riemann Surfaces and Related Topics", Proceedings of the 1978 Stony Brook Conference, Princeton
    • [Su3] D. Sullivan, On the ergodic theory at infinity of an arbitrary discrete group of hyperbolic motions, in "Riemann Surfaces and Related Topics", Proceedings of the 1978 Stony Brook Conference, Ann. of Math. Studies 97 (1981), Princeton.
    • (1981) Ann. of Math. Studies , vol.97
    • Sullivan, D.1
  • 55
    • 0003746329 scopus 로고
    • Geometry and topology of 3-manifolds
    • [Thul] polycopied course notes, available with revisions MSRI, Berkeley
    • [Thul] W.P. Thurston, Geometry and topology of 3-manifolds, polycopied course notes, Princeton Univ. 1982, available with revisions MSRI, Berkeley.
    • (1982) Princeton Univ.
    • Thurston, W.P.1
  • 56
    • 84968476184 scopus 로고
    • On the geometry and dynamics of diffeomorphisms of surfaces
    • [Thu2]
    • [Thu2] W.P. Thurston, On the geometry and dynamics of diffeomorphisms of surfaces, Bull. Amer. Math. Soc. 19 (1988), 417-432.
    • (1988) Bull. Amer. Math. Soc. , vol.19 , pp. 417-432
    • Thurston, W.P.1
  • 57
    • 84966239529 scopus 로고
    • Three dimensional manifolds, kleinian groups and hyperbolic geometry
    • [Thu3]
    • [Thu3] W.P. Thurston, Three dimensional manifolds, kleinian groups and hyperbolic geometry, Bull. Amer. Math. Soc. 6 (1982), 357-381.
    • (1982) Bull. Amer. Math. Soc. , vol.6 , pp. 357-381
    • Thurston, W.P.1
  • 58
    • 0001182097 scopus 로고
    • Hyperbolic structures on 3-manifolds I: Deformation of acylindrical manifolds
    • [Thu4]
    • [Thu4] W.P. Thurston, Hyperbolic structures on 3-manifolds I: Deformation of acylindrical manifolds, Ann. of Math. 124 (1986), 203-246.
    • (1986) Ann. of Math. , vol.124 , pp. 203-246
    • Thurston, W.P.1
  • 60
    • 0001924496 scopus 로고
    • On irreducible 3-manifolds which are sufficiently large
    • [Wa]
    • [Wa] F. Waldhausen, On irreducible 3-manifolds which are sufficiently large, Ann. of Math. 87 (1968), 56-88.
    • (1968) Ann. of Math. , vol.87 , pp. 56-88
    • Waldhausen, F.1
  • 61
    • 0000494138 scopus 로고
    • Discrete Möbius groups: Fundamental polyhedra and convergence
    • [Wi]
    • [Wi] N. Wielenberg, Discrete Möbius groups: fundamental polyhedra and convergence, Am. J. Math. 99 (1977), 861-877.
    • (1977) Am. J. Math. , vol.99 , pp. 861-877
    • Wielenberg, N.1


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