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.

chapter 1|23 pages

Semiriemannian manifolds

chapter 2|33 pages

2. Hilbert manifolds

chapter 3|14 pages

Stationary Lorentzian manifolds

chapter 7|11 pages


chapter 8|32 pages

Geodesics on splitting manifolds