Comptes Rendus
no. 9
Geometry
The conformal boundary of Margulis space–times
[Le bord conforme des espaces–temps de Margulis]

Présenté par : Étienne Ghys

Charles Frances1
1 U.M.P.A., E.N.S. Lyon, 46, allée d'Italie, 69364 Lyon cedex 07, France
Comptes Rendus. Mathématique, Volume 336 (2003) no. 9, pp. 751-756.

Dans cette Note, nous montrons comment construire le bord conforme des espaces–temps de Margulis R 1,2 /Γ lorsque Γ est un groupe de Schottky affine.

In this Note, we show how to construct the conformal boundary of Margulis space–times R 1,2 /Γ when Γ is an affine Schottky group.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/S1631-073X(03)00170-5
Charles Frances 1

1 U.M.P.A., E.N.S. Lyon, 46, allée d'Italie, 69364 Lyon cedex 07, France 
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     title = {The conformal boundary of {Margulis} space{\textendash}times},
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     pages = {751--756},
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     doi = {10.1016/S1631-073X(03)00170-5},
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Charles Frances. The conformal boundary of Margulis space–times. Comptes Rendus. Mathématique, Volume 336 (2003) no. 9, pp. 751-756. doi : 10.1016/S1631-073X(03)00170-5. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(03)00170-5/

[1] T.A. Drumm Fundamental polyhedra for Margulis space–times, Topology, Volume 31 (1992) no. 4, pp. 677-683

[2] T.A. Drumm Linear holonomy of Margulis space–times, J. Differential Geom., Volume 38 (1993) no. 3, pp. 679-690

[3] T.A. Drumm; W.M. Goldman Complete flat Lorentz 3-manifolds with free fundamental group, Internat. J. Math., Volume 1 (1990) no. 2, pp. 149-161

[4] T.A. Drumm; W.M. Goldman The geometry of crooked planes, Topology, Volume 38 (1999) no. 2, pp. 323-351

[5] C. Frances, Géométrie et dynamique lorentziennes conformes, Thèse, available at www.umpa.ens-lyon.fr/cfrances/

[6] G. Margulis Free properly discontinuous groups of affine transformations, Dokl. Akad. Nauk SSSR, Volume 272 (1983), pp. 937-940

[7] J. Milnor On fundamental group of complete affinely flat manifolds, Adv. Math., Volume 25 (1977), pp. 178-187

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