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Hamilton's Ricci Flow by Lei Ni, Peng Lu, Bennett Chow (Hardcover, 2007)

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Product Information

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.

Product Identifiers

Publisher
American Mathematical Society
ISBN-13
9780821842317
eBay Product ID (ePID)
104353794

Product Key Features

Author
Lei Ni, Peng Lu, Bennett Chow
Publication Name
Hamilton's Ricci Flow
Format
Hardcover
Language
English
Subject
Mathematics
Publication Year
2007
Type
Textbook
Number of Pages
608 Pages

Additional Product Features

Title_Author
Lei Ni, Peng Lu, Bennett Chow
Series Title
Graduate Studies in Mathematics
Country/Region of Manufacture
United States

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