On Lorentz dynamics : From group actions to warped products via homogeneous spaces
Dynamical Systems
2007-05-23 v1 Differential Geometry
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.
Keywords
Cite
@article{arxiv.math/0412195,
title = {On Lorentz dynamics : From group actions to warped products via homogeneous spaces},
author = {Abdelouahab Arouche and Mohamed Deffaf and Abdelghani Zeghib},
journal= {arXiv preprint arXiv:math/0412195},
year = {2007}
}