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

Bennett Chow; Peng Lu; And Lei Ni

ISBN 10: 0821842315 / ISBN 13: 9780821842317

Published by American Mathematical Society, 2006

About this Item

Used book in good condition. May have some wear to binding, spine, cover, and pages. Some light highlighting markings writing may be present. May have some stickers and or sticker residue present. May be Ex-lib. copy. May NOT include discs, or access code or other supplemental material. We ship Monday-Saturday and respond to inquiries within 24 hours.

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Bibliographic Details

• Title: Hamilton's Ricci Flow (Graduate Studies in Mathematics) (Graduate Studies in Mathematics, 77)
• Publisher: American Mathematical Society
• Publication Date: 2006
• Language: English
• ISBN 10: 0821842315
• ISBN 13: 9780821842317
• Binding: Hardcover
• Condition: good

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 Poincare conjecture and Thurston's geometrization conjecture.