On Lorentz dynamics: From group actions to warped products via homogeneous spaces-Reference-Cited by-同舟云学术

On Lorentz dynamics: From group actions to warped products via homogeneous spaces

Published:2006-10-17 Issue:3 Volume:359 Page:1253-1263
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Arouche A.,Deffaf M.,Zeghib A.

Abstract

We show a geometric rigidity of isometric actions of non-compact (semisimple) Lie groups on Lorentz manifolds. Namely, we show that the manifold has a warped product structure of a Lorentz manifold with constant curvature by a Riemannian manifold.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2007-359-03/S0002-9947-06-04279-6/S0002-9947-06-04279-6.pdf

Reference13 articles.

1. Dynamics of simple Lie groups on Lorentz manifolds;Adams, Scot;Geom. Dedicata,2004

2. The isometry group of a compact Lorentz manifold. I, II;Adams, Scot;Invent. Math.,1997

3. Isometric actions of Lie subgroups of the Moebius group;Boubel, Charles;Nonlinearity,2004

4. Rigid transformations groups;Gromov, Michael,1988

5. Eine innere Kennzeichnung der verzerrten Produkte;Hiepko, Sönke;Math. Ann.,1979

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