Curvature problems

著者

• Gerhardt, Claus

書誌事項

Curvature problems

Claus Gerhardt

（International Press series in geometry and topology, v. 39）

International Press, c2006

注記

Includes bibliographical references and index

内容説明・目次

内容説明

Applying 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.

目次

• * 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.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA80849168
• ISBN:
  • 1571461620
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Somerville, Mass.
• ページ数/冊数: ix, 323 p.
• 大きさ: 27 cm
• 親書誌ID:
  • BA52134579