On the isometry group and the geometric structure of compact stationary Lorentzian manifolds
Differential Geometry
2010-02-04 v1 Dynamical Systems
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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Cite
@article{arxiv.1002.0814,
title = {On the isometry group and the geometric structure of compact stationary Lorentzian manifolds},
author = {Paolo Piccione and Abdelghani Zeghib},
journal= {arXiv preprint arXiv:1002.0814},
year = {2010}
}
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27 pages