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

Abdelouahab Arouche·Mohamed Deffaf·Abdelghani Zeghib
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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.

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Abdelouahab Arouche, Mohamed Deffaf, Abdelghani Zeghib. 2004-12-09. On Lorentz dynamics : From group actions to warped products via homogeneous spaces. https://arxiv.org/abs/math/0412195

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