Géométries modèles de dimension trois

Yves de Cornulier[1]

  • [1] IRMAR Campus de Beaulieu 35042 Rennes cedex (France)

Séminaire de théorie spectrale et géométrie (2008-2009)

  • Volume: 27, page 17-43
  • ISSN: 1624-5458

Abstract

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In this expository article, we give a detailed proof of the classification by Thurston of the eight model geometries in dimension three.

How to cite

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de Cornulier, Yves. "Géométries modèles de dimension trois." Séminaire de théorie spectrale et géométrie 27 (2008-2009): 17-43. <http://eudml.org/doc/116456>.

@article{deCornulier2008-2009,
abstract = {On expose une preuve détaillée de la classification par Thurston des huit géométries modèles de dimension trois.},
affiliation = {IRMAR Campus de Beaulieu 35042 Rennes cedex (France)},
author = {de Cornulier, Yves},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {model geometry; Thurston geometry; geometrization},
language = {fre},
pages = {17-43},
publisher = {Institut Fourier},
title = {Géométries modèles de dimension trois},
url = {http://eudml.org/doc/116456},
volume = {27},
year = {2008-2009},
}

TY - JOUR
AU - de Cornulier, Yves
TI - Géométries modèles de dimension trois
JO - Séminaire de théorie spectrale et géométrie
PY - 2008-2009
PB - Institut Fourier
VL - 27
SP - 17
EP - 43
AB - On expose une preuve détaillée de la classification par Thurston des huit géométries modèles de dimension trois.
LA - fre
KW - model geometry; Thurston geometry; geometrization
UR - http://eudml.org/doc/116456
ER -

References

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  9. Grigori Perelman, Ricci flow with surgery on three-manifolds, (2003) Zbl1130.53002
  10. Peter Scott, The Geometries of 3-Manifolds, Bull. London Math. Soc. 15 (1983), 401-487 Zbl0561.57001MR705527
  11. William P. Thurston, The Geometry and Topology of Three-Manifolds, (1980) 
  12. William P. Thurston, Three-dimensional manifolds, Kleinian groups and hyperbolic geometry, Bull. Amer. Math. Soc. (N.S.) 6 (1982), 357-381 Zbl0496.57005MR648524
  13. William P. Thurston, Three-dimensional geometry and topology. Vol. 1, 35 (1997), Princeton University Press, Princeton, NJ Zbl0873.57001MR1435975

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