Download E-books The Ricci Flow in Riemannian Geometry: A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem (Lecture Notes in Mathematics, Vol. 2011) PDF

By Ben Andrews

This e-book makes a speciality of Hamilton's Ricci circulation, starting with a close dialogue of the mandatory facets of differential geometry, progressing via life and regularity conception, compactness theorems for Riemannian manifolds, and Perelman's noncollapsing effects, and culminating in a close research of the evolution of curvature, the place contemporary breakthroughs of Böhm and Wilking and Brendle and Schoen have resulted in an explanation of the differentiable 1/4-pinching sphere theorem.

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