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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.

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Authors and Affiliations

  1. Departamento de Matemática Aplicada, Universidad de Málaga, 29071, Málaga, Spain

    Francisco J. Palomo

  2. Departamento de Geometría y Topología, Universidad de Granada, 18071, Granada, Spain

    Alfonso Romero

Authors
  1. Francisco J. Palomo
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  2. Alfonso Romero
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Correspondence to Francisco J. Palomo.

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Palomo, F.J., Romero, A. Compact conformally stationary Lorentzian manifolds with no causal conjugate points. Ann Glob Anal Geom 38, 135–144 (2010). https://doi.org/10.1007/s10455-010-9204-6

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  • DOI: https://doi.org/10.1007/s10455-010-9204-6

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