Hamilton's Ricci Flow

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9780821852217: Hamilton's Ricci Flow
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Bennett Chow,Lei Ni,Peng Lu
Published by Orient BlackSwan/ Universities Press (2010)
ISBN 10: 0821852213 ISBN 13: 9780821852217
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Vikram Jain Books
(New Delhi, India)

Book Description Orient BlackSwan/ Universities Press, 2010. Softcover. Condition: New. 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 Hamiltonâ s program are covered, such as short time existence, Harnack inequalities, Ricci solutions, Perelmanâ s no local collapsing theorem, singularity analysis, and ancient solutions. A major direction in Ricci flow, via Hamiltonâ s and Perelmanâ s works, is the use of Ricci flow as an approach to solving the PoincarĂ conjecture and Thurstonâ s geometrization conjecture Printed Pages: 646. Seller Inventory # 20054BV

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