Actions of discrete groups on stationary Lorentz manifolds

作者:Piccione Paolo*; Zeghib Abdelghani
来源:Ergodic Theory and Dynamical Systems, 2014, 34(05): 1640-1673.
DOI:10.1017/etds.2013.17

摘要

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 (respectively, lightlike) manifold.

  • 出版日期2014-10

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