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Ricci Flow and the Sphere Theorem
Simon Brendle
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Description for Ricci Flow and the Sphere Theorem
Hardcover. Deals with the Ricci flow, and the convergence theory for the Ricci flow. This title focuses on preserved curvature conditions, such as positive isotropic curvature. It is suitable for graduate students and researchers. Series: Graduate Studies in Mathematics. Num Pages: 176 pages. BIC Classification: PBM; PBP. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 261 x 186 x 15. Weight in Grams: 488.
In 1982, R. Hamilton introduced a nonlinear evolution equation for Riemannian metrics with the aim of finding canonical metrics on manifolds. This evolution equation is known as the Ricci flow, and it has since been used widely and with great success, most notably in Perelman's solution of the Poincare conjecture. Furthermore, various convergence theorems have been established. This book provides a concise introduction to the subject as well as a comprehensive account of the convergence theory for the Ricci flow. The proofs rely mostly on maximum principle arguments. Special emphasis is placed on preserved curvature conditions, such as positive isotropic ... Read more
In 1982, R. Hamilton introduced a nonlinear evolution equation for Riemannian metrics with the aim of finding canonical metrics on manifolds. This evolution equation is known as the Ricci flow, and it has since been used widely and with great success, most notably in Perelman's solution of the Poincare conjecture. Furthermore, various convergence theorems have been established. This book provides a concise introduction to the subject as well as a comprehensive account of the convergence theory for the Ricci flow. The proofs rely mostly on maximum principle arguments. Special emphasis is placed on preserved curvature conditions, such as positive isotropic ... Read more
Product Details
Format
Hardback
Publication date
2010
Publisher
American Mathematical Society United States
Number of pages
176
Condition
New
Series
Graduate Studies in Mathematics
Number of Pages
176
Place of Publication
Providence, United States
ISBN
9780821849385
SKU
V9780821849385
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
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