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OverviewApplying analytic methods to geometric problems has proved to be extremely fruitful in the last decades. Among the new techniques, with the help of which many problems have been solved, curvature flows and a priori estimates for fully non-linear elliptic partial differential equations are especially important. In this book, the author considers curvature problems in Reimannian and Lorentzian geometry which have in common either that the extrinsic curvature of closed hypersurfaces is prescribed or that curvature flows driven by the extrinsic curvature are studied and used to obtain some insight in the nature of possible singularities. This book will serve as an advanced textbook for graduate students and researchers interested in geometry and general relativity. Full Product DetailsAuthor: Claus GerhardtPublisher: International Press of Boston Inc Imprint: International Press of Boston Inc Volume: no. 39 ISBN: 9781571461629ISBN 10: 1571461620 Pages: 323 Publication Date: 30 September 2007 Audience: Professional and scholarly , College/higher education , Professional & Vocational , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of Contents* Click here to view the Preface and Table of Contents as a PDF file; 1. Foundations; 2. Curvature flows in semi-Riemannian manifolds; 3. Hypersurfaces of prescribed curvature in Riemannian manifolds; 4. Hypersurfaces of prescribed curvature in Lorentzian manifolds; 5. Hypersurfaces of prescribed scalar curvature; 6. The IMCF in cosmological spacetimes.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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