%0 Journal Article %T On the isometry group and the geometric structure of compact stationary Lorentzian manifolds %A Paolo Piccione %A Abdelghani Zeghib %J Mathematics %D 2010 %I arXiv %X 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. %U http://arxiv.org/abs/1002.0814v1