, Volume 38, Issue 2, pp 135-144
Date: 26 Feb 2010

Compact conformally stationary Lorentzian manifolds with no causal conjugate points

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Abstract

A sequence of integral inequalities for any compact conformally stationary Lorentzian manifold with no conjugate points along its causal geodesics is obtained. If the equality holds for one of them, the Lorentzian manifold must be flat. As an application, several classification results for such manifolds are proved.