The Ricci Flow: Techniques and Applications : Part I: Geometric Aspects

Bennett Chow

ISBN 10: 0821839462 / ISBN 13: 9780821839461

Published by American Mathematical Society Apr 2007, 2007

About this Item

Neuware - Contains topics in Hamilton's Ricci flow. This 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. Seller Inventory # 9780821839461

Bibliographic Details

Title: The Ricci Flow: Techniques and Applications ...

Publisher: American Mathematical Society Apr 2007

Publication Date: 2007

Binding: Buch

Condition: Neu

About this title

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