Ricci Flow and the Sphere Theorem (Graduate Studies in Mathematics) by Simon Brendle
English | 2010 | ISBN: 0821849387 | ISBN-13: 9780821849385 | 176 pages | DJVU | 2,3 MB
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 Poincaré conjecture. Furthermore, various convergence theorems have been established.