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

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

2004-12-09

arxiv.org/abs/math/0412195v1

Mathematics

Dynamical Systems

Scientific paper

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.

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