A Morse index for geodesics in static Lorentz manifolds.

Vieri Benci; Antonio Masiello

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Geodesics on non static Lorentz manifolds of Reissner-Norström type.

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Xiao-Wei Peng (1984)

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Geodesics on nonstatic Lorentz manifolds of Reissner-Nordstrom type (Erratum).

Fabio Giannoni (1994)

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On Critical Sets of Distance Functions to a taut Submanifold.

Tetsuya Ozawa (1986)

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On a variational theory of light rays on Lorentzian manifolds

Fabio Giannoni, Antonio Masiello (1995)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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In this Note, by using a generalization of the classical Fermat principle, we prove the existence and multiplicity of lightlike geodesics joining a point with a timelike curve on a class of Lorentzian manifolds, satisfying a suitable compactness assumption, which is weaker than the globally hyperbolicity.