The identity component of the isometry group of a compact Lorentz manifold
Abdelghani Zeghib
Source: Duke Math. J. Volume 92, Number 2
(1998), 321-333.
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077231487
Mathematical Reviews number (MathSciNet): MR1612793
Zentralblatt MATH identifier: 0976.53077
Digital Object Identifier: doi:10.1215/S0012-7094-98-09208-0
References
[AS]1 S. Adams and G. Stuck, The isometry group of a compact Lorentz manifold. I, Invent. Math. 129 (1997), no. 2, 239–261.
Mathematical Reviews (MathSciNet): MR98i:53092
Zentralblatt MATH: 0897.53046
Digital Object Identifier: doi:10.1007/s002220050163
[AS]2 S. Adams and G. Stuck, The isometry group of a compact Lorentz manifold. II, Invent. Math. 129 (1997), no. 2, 263–287.
Mathematical Reviews (MathSciNet): MR98i:53092
Zentralblatt MATH: 0897.53047
Digital Object Identifier: doi:10.1007/s002220050163
[BEM] J. K. Beem, P. E. Ehrlich, and S. Markvorsen, Timelike isometries and Killing fields, Geom. Dedicata 26 (1988), no. 3, 247–258.
Mathematical Reviews (MathSciNet): MR89k:53058
Zentralblatt MATH: 0647.53045
Digital Object Identifier: doi:10.1007/BF00183017
[Bel] M. Belliart, Actions de groupes de Lie sur les variétés compactes, thesis, Lille, 1995.
[D'A] G. D'Ambra, Isometry groups of Lorentz manifolds, Invent. Math. 92 (1988), no. 3, 555–565.
Mathematical Reviews (MathSciNet): MR89h:53124
Zentralblatt MATH: 0647.53046
Digital Object Identifier: doi:10.1007/BF01393747
[DG] G. D'Ambra and M. Gromov, Lectures on transformation groups: geometry and dynamics, Surveys in differential geometry (Cambridge, MA, 1990), Lehigh Univ., Bethlehem, PA, 1991, pp. 19–111.
Mathematical Reviews (MathSciNet): MR93d:58117
Zentralblatt MATH: 0752.57017
[G1] E. Ghys, Actions localement libres du groupe affine, Invent. Math. 82 (1985), no. 3, 479–526.
Mathematical Reviews (MathSciNet): MR87f:58084
Zentralblatt MATH: 0577.57010
Digital Object Identifier: doi:10.1007/BF01388867
[G2] E. Ghys, Flots d'Anosov dont les feuilletages stables sont différentiables, Ann. Sci. École Norm. Sup. (4) 20 (1987), no. 2, 251–270.
Mathematical Reviews (MathSciNet): MR89h:58153
Zentralblatt MATH: 0663.58025
[Gr] M. Gromov, Rigid transformations groups, Géométrie différentielle (Paris, 1986), Travaux en Cours, vol. 33, Hermann, Paris, 1988, pp. 65–139.
Mathematical Reviews (MathSciNet): MR90d:58173
Zentralblatt MATH: 0652.53023
[M] P. Molino, Riemannian foliations, Progress in Mathematics, vol. 73, Birkhäuser Boston Inc., Boston, MA, 1988.
Mathematical Reviews (MathSciNet): MR89b:53054
Zentralblatt MATH: 0633.53001
[S] B. Solomon, On foliations of $\bf R\sp n+1$ by minimal hypersurfaces, Comment. Math. Helv. 61 (1986), no. 1, 67–83.
Mathematical Reviews (MathSciNet): MR87k:49048
Zentralblatt MATH: 0601.53025
Digital Object Identifier: doi:10.1007/BF02621903
[W] P. Walters, An introduction to ergodic theory, Graduate Texts in Mathematics, vol. 79, Springer-Verlag, New York, 1982.
Mathematical Reviews (MathSciNet): MR84e:28017
Zentralblatt MATH: 0475.28009
[Ze1] A. Zeghib, Sur les espaces-temps homogènes, preprint.
Mathematical Reviews (MathSciNet): MR1668344
Digital Object Identifier: doi:10.2140/gtm.1998.1.551
[Ze2] A. Zeghib, Killing fields in compact Lorentz $3$-manifolds, J. Differential Geom. 43 (1996), no. 4, 859–894.
Mathematical Reviews (MathSciNet): MR97j:58119
Zentralblatt MATH: 0877.53048
Project Euclid: euclid.jdg/1214458535
[Ze3] A. Zeghib, Isometry groups and geodesic foliations of Lorentz manifolds, I: Foundations of Lorentz dynamics, preprint.
Mathematical Reviews (MathSciNet): MR1719606
Zentralblatt MATH: 0946.53035
Digital Object Identifier: doi:10.1007/s000390050102
[Ze4] A. Zeghib, Geodesic foliations in Lorentz $3$-manifolds, preprint.
Mathematical Reviews (MathSciNet): MR1677118
Zentralblatt MATH: 0919.53011
Digital Object Identifier: doi:10.1007/s000140050073
[Zi] R. Zimmer, On the automorphism group of a compact Lorentz manifold and other geometric manifolds, Invent. Math. 83 (1986), no. 3, 411–424.
Mathematical Reviews (MathSciNet): MR87j:58019
Zentralblatt MATH: 0591.53026
Digital Object Identifier: doi:10.1007/BF01394415
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