Travaux de Thurston sur les groupes quasi-fuchsiens et les variétés hyperboliques de dimension 3 fibrées sur S 1

Dennis Sullivan

Séminaire Bourbaki (1979-1980)

  • Volume: 22, page 196-214
  • ISSN: 0303-1179

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Sullivan, Dennis. "Travaux de Thurston sur les groupes quasi-fuchsiens et les variétés hyperboliques de dimension $3$ fibrées sur $S^1$." Séminaire Bourbaki 22 (1979-1980): 196-214. <http://eudml.org/doc/109953>.

@article{Sullivan1979-1980,
author = {Sullivan, Dennis},
journal = {Séminaire Bourbaki},
keywords = {limit of a sequence of quasi-fuchsian groups; hyperbolic structure on 3- manifolds fibering over the 1-sphere with pseudo-Anosov monodromy},
language = {fre},
pages = {196-214},
publisher = {Springer-Verlag},
title = {Travaux de Thurston sur les groupes quasi-fuchsiens et les variétés hyperboliques de dimension $3$ fibrées sur $S^1$},
url = {http://eudml.org/doc/109953},
volume = {22},
year = {1979-1980},
}

TY - JOUR
AU - Sullivan, Dennis
TI - Travaux de Thurston sur les groupes quasi-fuchsiens et les variétés hyperboliques de dimension $3$ fibrées sur $S^1$
JO - Séminaire Bourbaki
PY - 1979-1980
PB - Springer-Verlag
VL - 22
SP - 196
EP - 214
LA - fre
KW - limit of a sequence of quasi-fuchsian groups; hyperbolic structure on 3- manifolds fibering over the 1-sphere with pseudo-Anosov monodromy
UR - http://eudml.org/doc/109953
ER -

References

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  1. ( A.) Ahlfors, Lars "Quasi conformal deformations and mappings in Rn"Journal d'Analyse Mathématique, vol. 30 (1976) pp 74-97. Zbl0338.30017MR492238
  2. ( B.) Bers, Lipman "Uniformization by Beltrami equations"Comm. Pure Appl. Math14 (1961). Zbl0138.06101MR132175
  3. ( M.) MostowG.D. "Quasi-conformal mappings in n-space and the rigidity of hyperbolic space forms"Publications Mathématiques IHES n°34 (1968) pp 53,104. Zbl0189.09402MR236383
  4. ( J.) Jorgensen, Troels "Compact 3-manifolds of constant negative curvature fibring over the circle"Annals of Math. (106) 61-72, (1977). Zbl0368.53025MR450546
  5. (AT) A. Fathi, F. Laudenbach, V. Poénaru et al "Travaux de Thurston sur les surfaces" Astérisque66-67 (1979). Zbl0446.57010MR568308
  6. (P) Poénaru Valentin, "Travaux de Thurston sur les difféomorphismes des surfaces et l'espace de Teichmüller" Bourbaki (529) 1978/79. Zbl0438.57004
  7. (S) Sullivan, Dennis a) "Ergodic theory at infinity of an arbitrary discrete group of hyperbolic motions" Proceedings of Stony Brook Conference on Kleinian Groups (1978) Princeton University Press. b) "The density at infinity of a discrete group of hyperbolic motions" Publications Mathématiques IHES n°50 (1979) pp 171, 202. Zbl0439.30034MR556586
  8. (T) Thurston, W. "The geometry and topology of 3-manifolds" Princeton Notes 1978,1979,... (Bibliothèque de l'IHES, d'Orsay etc...., à paraître comme livre, Princeton University Press). 
  9. (T1) Thurston, W. "On the geometry and dynamics of diffeomorphisms of surfaces" Preprint Princeton1977. MR956596
  10. (J1) Jorgensen, Troels "On pairs of once punctured tori" (manuscript). Zbl1061.30038

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