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arxiv: math/0412195 · v1 · submitted 2004-12-09 · 🧮 math.DS · math.DG

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

classification 🧮 math.DS math.DG
keywords lorentzmanifoldactionswarpedcompactconstantcurvaturedynamics
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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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