Mathematical Research Letters

Volume 10, Issue 4, July 2003 pp. 435-445.

On the Morse Inequalities for Geodesics on Lorentzian Manifolds

Authors: A. Abbondandolo, V. Benci, D. Fortunato and A. Masiello
Author institution: Scuola Normale Superiore di Pisa, Universitá di Pisa, and Politecnico di Bari

Summary: 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.

Contents Full-Text PDF