Appliies variational methods and critical point theory on infinite dimenstional manifolds to some problems in Lorentzian geometry which have a variational nature, such as existence and multiplicity results on geodesics and relations between such geodesics and the topology of the manifold.
Table of Contents
1. Semiriemannian manifolds 2. Hilbert manifolds 3. Stationary Lorentzian manifolds 4. Stationary Lorentzian manifolds with convex boundary 5. A Morse Theory for geodesies on stationary Lorentzian manifolds 6. A Fermat principle for stationary Lorentzian manifolds 7. Applications 8. Geodesics on splitting manifolds