Mathematical Research Letters

Volume 10 (2003)

Number 4

On the Morse Inequalities for Geodesics on Lorentzian Manifolds

Pages: 435 – 445



A. Abbondandolo

V. Benci

D. Fortunato

A. Masiello


We extend the classical Morse inequalities in Riemannian Geometry to the geodesics joining two nonconjugate points on a Lorentzian manifold. The Morse inequalities are obtained developing a Morse Theory for a class of strongly indefinite functionals.

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