Isometry Groups and Geodesic Foliations of Lorentz Manifolds. Part II: Geometry of Analytic Lorentz Manifolds with Large Isometry Groups |
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Authors: | A. Zeghib |
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Affiliation: | (1) CNRS, UMPA, école Normal Supérieure de Lyon, 46, allée d'Italie, 69364 Lyon cedex 07, France, e-mail: Zeghib@umpa.ens-lyon.fr, FR |
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Abstract: | This is part II of a series on noncompact isometry groups of Lorentz manifolds. We have introduced in part I, a compactification of these isometry groups, and called "bipolarized" those Lorentz manifolds having a "trivial" compactification. Here we show a geometric rigidity of non-bipolarized Lorentz manifolds; that is, they are (at least locally) warped products of constant curvature Lorentz manifolds by Riemannian manifolds. Submitted: April 1998, final version: November 1998. |
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