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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Timelike periodic trajectories in spatially compact Lorentz manifolds
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by Miguel Sánchez PDF
Proc. Amer. Math. Soc. 127 (1999), 3057-3066 Request permission

Abstract:

A result on the existence of timelike periodic trajectories in a general class of Lorentzian manifolds $\mathbb R{}\times M$, with compact $M$, is obtained. The proof is based on arguments concerning closed geodesics and causality theory.
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Additional Information
  • Miguel Sánchez
  • Affiliation: Departamento de Geometría y Topología, Facultad de Ciencias, Universidad de Granada, 18071–Granada, Spain
  • Email: sanchezm@goliat.ugr.es
  • Received by editor(s): November 20, 1997
  • Received by editor(s) in revised form: December 23, 1997
  • Published electronically: April 23, 1999
  • Additional Notes: This research was partially supported by a DGICYT Grant No. PB97-0784-C03-01. The author is grateful to Prof. D. Fortunato and Prof. V. Benci for having discussions.
  • Communicated by: Christopher B. Croke
  • © Copyright 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 127 (1999), 3057-3066
  • MSC (1991): Primary 53C50, 53C22
  • DOI: https://doi.org/10.1090/S0002-9939-99-04979-5
  • MathSciNet review: 1616609