Geodesics on Lorentzian manifolds with quasi-convex boundary.
A Morse index for geodesics in static Lorentz manifolds.
On a variational theory of light rays on Lorentzian manifolds
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.
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