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

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

2010-02-03

arxiv.org/abs/1002.0814v1

Mathematics

Differential Geometry

27 pages

Scientific paper

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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