Timelike periodic trajectories in spatially compact Lorentz manifolds
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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.References
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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