Ricci Flow and Geometric Applications, 1st ed. 2016 Cetraro, Italy 2010 C.I.M.E. Foundation Subseries Series

Presenting some impressive recent achievements in differential geometry and topology, this volume focuses on results obtained using techniques based on Ricci flow. These ideas are at the core of the study of differentiable manifolds. Several very important open problems and conjectures come from this area and the techniques described herein are used to face and solve some of them. 

The book?s four chapters are based on lectures given by leading researchers in the field of geometric analysis and low-dimensional geometry/topology, respectively offering an introduction to: the differentiable sphere theorem (G. Besson), the geometrization of 3-manifolds (M. Boileau), the singularities of 3-dimensional Ricci flows (C. Sinestrari), and Kähler?Ricci flow (G. Tian). The lectures will be particularly valuable to young researchers interested in differential manifolds.

Offers a basic introduction to the subjects

Gives detailed and careful explanations of the topics

Presents four different and very important aspects of the applications of Ricci flow

Includes supplementary material: sn.pub/extras