Used as an analytical method for studying the geometry and topology of manifolds, the study of Ricci flow presumes some background in Riemannian geometry, which the authors review here, along with brief introductions to some general methods of geometric analysis and other geometric flows. They cover the fundamentals of the Ricci flow equation, closed three-manifolds with positive Ricci curvature, Ricci solitons and special solutions, isoperimetric estimates and no local collapsing, preparation for singularity analysis, high-dimensional and noncompact Ricci flow, singularity analysis, ancient solutions, differential Harnack estimates, space-time geometry, and appendices on geometric analysis related to Ricci flow and analytical techniques for geometric flows. The authors provide exercises with solutions for selected questions and worked equations. Annotation ©2007 Book News, Inc., Portland, OR (booknews.com)
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Book by Bennett Chow Peng Lu and Lei Ni
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