Compact lorentzian manifolds without closed nonspacelike geodesics

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Abstract

We prove that every compact two-dimensional Lorentzian manifold contains a closed timelike or null geodesic. We then construct a two-dimensional example without any closed timelike geodesies and a three-dimensional example without any closed timelike or null geodesies.

Original languageEnglish (US)
Pages (from-to)119-123
Number of pages5
JournalProceedings of the American Mathematical Society
Volume98
Issue number1
DOIs
StatePublished - 1986

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ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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