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:	9781351405706
Publisher:	CRC Press
Publication date:	10/05/2017
Series:	Chapman & Hall/CRC Research Notes in Mathematics Series
Sold by:	Barnes & Noble
Format:	eBook
Pages:	200
File size:	1 MB

About the Author

Masiello, Antonio

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