The Ricci Flow: Techniques and Applications Part III: Geometric Analytic Aspects

When we last saw our friends, geometric topics ware in one volume and analytic topics in the next, and it was not clear that they would ever ever find each other. Well, here they are, safe and sound, together at last, and already as far chapter 17. The topics include entropy, u-invariant, and finite time singularities; geometric tools and point picking methods; geometric properties of k-solutions; the compactness of the space of k-solutions; Perelman's pseudo-locality theorem; tools used in the proof of pseudo-locality; heat kernel for static metrics and for evolving metrics; estimates of the heat equation for evolving metrics; and bounds for the heat kernel for evolving metrics. Solutions are provided for selected exercises. The three parts are paged and indexed separately. Annotation ©2010 Book News, Inc., Portland, OR (booknews.com)