1st Edition

Variational Methods in Lorentzian Geometry

By Antonio Masiello Copyright 1994
200 Pages
by Chapman & Hall

200 Pages
by Chapman & Hall

200 Pages
by Chapman & Hall

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.

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

Biography

Masiello, Antonio