Ricci Flow and Geometric Applications Cetraro, Italy 2010 /

• Main Authors: Boileau, Michel (Author), Besson, Gerard (Author), Sinestrari, Carlo (Author), Tian, Gang (Author)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Benedetti, Riccardo (Editor), Mantegazza, Carlo (Editor)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: Lecture Notes in Mathematics, 2166
• Subjects: Mathematics.; Partial differential equations.; Differential geometry.; Differential Geometry.; Partial Differential Equations.

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 thi...

Table of Contents:

• Preface
• The Differentiable Sphere Theorem (after S. Brendle and R. Schoen)
• Thick/Thin Decomposition of three–manifolds and the Geometrisation Conjecture
• Singularities of three–dimensional Ricci flows
• Notes on K¨ahler-Ricci flow.