Mathematical Research Letters
Volume 10 (2003)
On the Morse Inequalities for Geodesics on Lorentzian Manifolds
Pages: 435 – 445
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.