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.
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Hardcover. Etat : Very Good. First Printing. 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. N° de réf. du vendeur 5485
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