Timelike periodic trajectories in spatially compact Lorentz manifolds-Reference-Cited by-同舟云学术

Timelike periodic trajectories in spatially compact Lorentz manifolds

Published:1999-04-23 Issue:10 Volume:127 Page:3057-3066
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Sánchez Miguel

Abstract

A result on the existence of timelike periodic trajectories in a general class of Lorentzian manifolds R × M \mathbb R{}\times M , with compact M M , is obtained. The proof is based on arguments concerning closed geodesics and causality theory.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1999-127-10/S0002-9939-99-04979-5/S0002-9939-99-04979-5.pdf

Reference24 articles.

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4. On the existence of multiple geodesics in static space-times;Benci, V.;Ann. Inst. H. Poincar\'{e} Anal. Non Lin\'{e}aire,1991

5. [5] V. Benci, D. Fortunato, F. Giannoni: On the existence of periodic trajectories in static Lorentzian manifolds with singular boundary, Nonlinear Analysis, a tribute in honour of Giovanni Prodi, Pisa (1991) 109-133.

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