Riemannian Manifolds: An Introduction to Curvature (Graduate Texts in Mathematics, 176) - Hardcover

Lee, John M.

Hardcover

ISBN 10: 038798271X ISBN 13: 9780387982717

Publisher: Springer, 1997

Synopsis

This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four most fundamental theorems relating curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet’s Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.

About this title

About the Author:

John M. Lee has been a mathematics professor at the University of Washington in Seattle since 1987. He has written two other popular graduate texts (Introduction to Smooth Manifolds and Introduction to Topological Manifolds), and an undergraduate text (Axiomatic Geometry).

Review:

"This book is very well writen, pleasant to read, with many good illustrations. It deals with the core of the subject, nothing more and nothing less. Simply a recommendation for anyone who wants to teach or learn about the Riemannian geometry."
Nieuw Archief voor Wiskunde, September 2000

About this edition

• Publisher: Springer
• Publication date: 1997
• ISBN 10: 038798271X
• ISBN 13: 9780387982717
• Binding: Hardcover
• Number of pages: 241