Variational Methods in Lorentzian Geometry

TRAMA

The aim of this work is to apply variational methods, and critical point theory on infinite dimensional manifolds, to some problems in Lorentzian geometry which have a variational nature. In particular Ljusternik-Schnirelmann critical point theory and Morse theory are exploited.

NOTE EDITORE

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.

SOMMARIO

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

AUTORE

Masiello\, Antonio

ALTRE INFORMAZIONI

• Condizione: Nuovo
• ISBN: 9780582237995
• Collana: Chapman & Hall/CRC Research Notes in Mathematics Series
• Dimensioni: 9.75 x 6.75 in Ø 0.80 lb
• Formato: Copertina rigida
• Pagine Arabe: 200