The Ricci Flow: Geometric Aspects Pt. 1: Techniques and Applications: Geometric Aspects Pt. 1 (Mathematical Surveys & Monographs): Part I: Geometric Aspects (Mathematical Surveys and Monographs) - Hardcover

Chow, Bennett; Chu, Sun-Chin; Glickenstein, David; Guenther, Christine; Isenberg, James; Ivey, Tom; Knopf, Dan; Lu, Peng; Luo, Feng; Ni, Lei

Hardcover

ISBN 10: 0821839462 ISBN 13: 9780821839461

Publisher: American Mathematical Society, 2007

Synopsis

This book gives a presentation of topics in Hamilton's Ricci flow for graduate students and mathematicians interested in working in the subject. The authors have aimed at presenting technical material in a clear and detailed manner. In this volume, geometric aspects of the theory have been emphasized. The book presents the theory of Ricci solitons, Kahler-Ricci flow, compactness theorems, Perelman's entropy monotonicity and no local collapsing, Perelman's reduced distance function and applications to ancient solutions, and a primer of 3-manifold topology. Various technical aspects of Ricci flow have been explained in a clear and detailed manner. The authors have tried to make some advanced material accessible to graduate students and nonexperts. The book gives a rigorous introduction to Perelman's work and explains technical aspects of Ricci flow useful for singularity analysis. Throughout, there are appropriate references so that the reader may further pursue the statements and proofs of the variou

Edition details

• Publisher: American Mathematical Society
• Publication date: 2007
• ISBN 10: 0821839462
• ISBN 13: 9780821839461
• Binding: Hardcover
• Language: English
• Number of pages: 536