{"product_id":"hamiltons-ricci-flow-9780821852217","title":"Hamilton's Ricci Flow","description":"\u003cp\u003e • Author(s): Bennett Chow, Peng Lu, Lei Ni\u003cbr\u003e • Publisher: Orient Blackswan Pvt Ltd\u003cbr\u003e • Publisher Imprint: Orient Blackswan Pvt Ltd\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eRicci flow\u003c\/strong\u003e 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.\u003c\/p\u003e \u003cp\u003eThe 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.\u003c\/p\u003e \u003cp\u003eSeveral topics of Hamilton’s program are covered, such as short time existence, Harnack inequalities, Ricci solutions, Perelman’s no local collapsing theorem, singularity analysis, and ancient solutions.\u003c\/p\u003e \u003cp\u003eA 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. \u003c\/p\u003e","brand":"Orient Blackswan Pvt Ltd","offers":[{"title":"Paperback","offer_id":45616481566871,"sku":"9780821852217","price":1896.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780821852217.webp?v=1769294912","url":"https:\/\/atlanticbooks.com\/products\/hamiltons-ricci-flow-9780821852217","provider":"Atlantic Books","version":"1.0","type":"link"}