Hamilton's Ricci Flow (Graduate Studies in Mathematics Volume 77)

Bennett Chow, Peng Lu, Lei Ni

ISBN 10: 0821842315 / ISBN 13: 9780821842317

Published by American Mathematical Society Science Press, Providence, RI, 2006

About this Item

Printed in the United States. xxxvi, preface, ack, detailed guide for the reader, notation and symbols, 11 chapters, appendices, bibliography, index, 608 pages. Light rubbing and scuffing to boards, small nick to back bottom board edge, light scuffing to page edges, previous owners name written on top edge of front paste-down end paper. The only marking in the book is the owners name on the front end paper, otherwise the interior pages are unmarked. Size: 10 x 7.2 x 1.5: inches. Quantity Available: 1. Category: Mathematics; United States; ISBN: 0821842315. ISBN/EAN: 9780821842317. Pictures of this item not already displayed here available upon request. Inventory No: 5485.

Seller Inventory # 5485

Bibliographic Details

• Title: Hamilton's Ricci Flow (Graduate Studies in Mathematics Volume 77)
• Publisher: American Mathematical Society Science Press, Providence, RI
• Publication Date: 2006
• Language: English
• ISBN 10: 0821842315
• ISBN 13: 9780821842317
• Binding: Hardcover
• Edition: First Printing.
• Condition: Very Good
• Seller catalogs:
  • Mathematics

About this title

Synopsis

Ricci flow is a powerful analytic method for studying the geometry and topology of manifolds. This book is an introduction to Ricci flow for graduate students and mathematicians interested in working in the subject. To this end, the first chapter is a review of the relevant basics of Riemannian geometry. For the benefit of the student, the text includes a number of exercises of varying difficulty. The book also provides brief introductions to some general methods of geometric analysis and other geometric flows. Comparisons are made between the Ricci flow and the linear heat equation, mean curvature flow, and other geometric evolution equations whenever possible. Several topics of Hamilton's program are covered, such as short time existence, Harnack inequalities, Ricci solitons, Perelman's no local collapsing theorem, singularity analysis, and ancient solutions. A major direction in Ricci flow, via Hamilton's and Perelman's works, is the use of Ricci flow as an approach to solving the Poincaré conjecture and Thurston's geometrization conjecture.

Review

The style of the book is very pleasant, including lots of motivations and background material, course outlines and exercises (with solutions), the bibliography is rather comprehensive. This work is certain to become one of the main references in this field of great current interest. --M. Kunzinger

This book is a very well written introduction to and resource for study of the Ricci flow. It is quite self-contained, but relevant references are provided at appropriate points. The style of the book renders it accessible to graduate students (suggested course outlines and many relevant further references are provided), while its substance provides an essential resource for background, key concepts and fundamental ideas for further study in the area. --James McCoy, Mathematical Reviews