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On Lorentz dynamics: From group actions to warped products via homogeneous spaces |
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| Authors: | A. Arouche M. Deffaf A. Zeghib |
| Affiliation: | Faculté des Mathématiques, Université des Sciences et de la Technologie Houari Boumediene, BP 32 El'Alia, Bab Ezzouar, Alger, Algeria ; Faculté des Mathématiques, Université des Sciences et de la Technologie Houari Boumediene, BP 32 El'Alia, Bab Ezzouar, Alger, Algeria ; CNRS, UMPA, École Normale Supérieure de Lyon, 46, allée d'Italie, 69364 Lyon cedex 07, France |
| 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: | Lorentz manifolds warped product semi-simple transformation groups |
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