Bennett Chow, University of California, San Diego, La Jolla, CA.Peng Lu, University of Oregon, Eugene, OR.Lei Ni, University of California, San Diego, La Jolla, CA.

• Riemannian geometryFundamentals of the Ricci flow equationClosed 3-manifolds with positive Ricci curvatureRicci solitons and special solutionsIsoperimetric estimates and no local collapsingPreparation for singularity analysisHigh-dimensional and noncompact Ricci flowSingularity analysisAncient solutionsDifferential Harnack estimatesSpace-time geometryAppendix A. Geometric analysis related to Ricci flowAppendix B. Analytic techniques for geometric flowsAppendix S. Solutions to selected exercisesBibliographyIndex

“The style of the book is very pleasant, including lots of motivations and background material, course outlines and exercises (with solutions), the bibliography is rather comprehensive. This work is certain to become one of the main references in this field of great current interest.” - M. Kunzinger“This book is a very well written introduction to and resource for study of the Ricci flow. It is quite self-contained, but relevant references are provided at appropriate points. The style of the book renders it accessible to graduate students (suggested course outlines and many relevant further references are provided), while its substance provides an essential resource for background, key concepts and fundamental ideas for further study in the area.” - James McCoy, Mathematical Reviews

Bennett Chow, University of California, San Diego, La Jolla, CA.Peng Lu, University of Oregon, Eugene, OR.Lei Ni, University of California, San Diego, La Jolla, CA.

• Riemannian geometryFundamentals of the Ricci flow equationClosed 3-manifolds with positive Ricci curvatureRicci solitons and special solutionsIsoperimetric estimates and no local collapsingPreparation for singularity analysisHigh-dimensional and noncompact Ricci flowSingularity analysisAncient solutionsDifferential Harnack estimatesSpace-time geometryAppendix A. Geometric analysis related to Ricci flowAppendix B. Analytic techniques for geometric flowsAppendix S. Solutions to selected exercisesBibliographyIndex

“The style of the book is very pleasant, including lots of motivations and background material, course outlines and exercises (with solutions), the bibliography is rather comprehensive. This work is certain to become one of the main references in this field of great current interest.” - M. Kunzinger“This book is a very well written introduction to and resource for study of the Ricci flow. It is quite self-contained, but relevant references are provided at appropriate points. The style of the book renders it accessible to graduate students (suggested course outlines and many relevant further references are provided), while its substance provides an essential resource for background, key concepts and fundamental ideas for further study in the area.” - James McCoy, Mathematical Reviews

Bennett Chow, University of California, San Diego, La Jolla, CA.Peng Lu, University of Oregon, Eugene, OR.Lei Ni, University of California, San Diego, La Jolla, CA.

• Riemannian geometryFundamentals of the Ricci flow equationClosed 3-manifolds with positive Ricci curvatureRicci solitons and special solutionsIsoperimetric estimates and no local collapsingPreparation for singularity analysisHigh-dimensional and noncompact Ricci flowSingularity analysisAncient solutionsDifferential Harnack estimatesSpace-time geometryAppendix A. Geometric analysis related to Ricci flowAppendix B. Analytic techniques for geometric flowsAppendix S. Solutions to selected exercisesBibliographyIndex

“The style of the book is very pleasant, including lots of motivations and background material, course outlines and exercises (with solutions), the bibliography is rather comprehensive. This work is certain to become one of the main references in this field of great current interest.” - M. Kunzinger“This book is a very well written introduction to and resource for study of the Ricci flow. It is quite self-contained, but relevant references are provided at appropriate points. The style of the book renders it accessible to graduate students (suggested course outlines and many relevant further references are provided), while its substance provides an essential resource for background, key concepts and fundamental ideas for further study in the area.” - James McCoy, Mathematical Reviews