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arXiv · 1002.0814

On the isometry group and the geometric structure of compact stationary Lorentzian manifolds

Paolo Piccione·Abdelghani Zeghib
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Abstract

We study the geometry of compact Lorentzian manifolds that admit a somewhere timelike Killing vector field, and whose isometry group has infinitely many connected components. Up to a finite cover, such manifolds are products (or amalgamated products) of a flat Lorentzian torus and a compact Riemannian (resp., lightlike) manifold.

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Paolo Piccione, Abdelghani Zeghib. 2010-02-03. On the isometry group and the geometric structure of compact stationary Lorentzian manifolds. https://arxiv.org/abs/1002.0814

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