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research
On Lorentz dynamics : From group actions to warped products via homogeneous spaces
Authors
Abdelouahab Arouche
Mohamed Deffaf
Abdelghani Zeghib
Publication date
9 December 2004
Publisher
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on
arXiv
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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Last time updated on 11/11/2016