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Lightlike periodic trajectories in space-times

Authors:	Anna Maria Candela

Affiliation:	(1) Present address: Dipartimento di Matematica, Via E. Orabona 4, 70125 Bari, Italy

Abstract:	Let ., _zbe a Lorentz metric on a manifold $mathfrak{M} = mathfrak{M}_0 times R$ such that $mathfrak{M}_0$ isnot compact. We prove the existence of infinitely many lightlike periodic trajectories inby using variational methods and Ljusternik-Schnirelman theory.Sponsored by M.U.R.S.T. (fondi 60% «Problemi differenziali nonlineari e teoria dei punti critici»; fondi 40% «Equazioni differenziali e calcolo delle variazioni»).

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