Variational Methods in Lorentzian Geometry

by Antonio Masiello

Overview

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.

Product Details

ISBN-13:	9780367449438
Publisher:	CRC Press
Publication date:	12/02/2019
Series:	Chapman & Hall/CRC Research Notes in Mathematics Series
Pages:	200
Product dimensions:	6.12(w) x 9.19(h) x (d)

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