Ricci Flow and Geometric Applications: Cetraro, Italy 2010

by Michel Boileau, Riccardo Benedetti (Editor), Carlo Mantegazza (Editor), Gerard Besson, Carlo Sinestrari

Overview

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.

Product Details

ISBN-13:	9783319423500
Publisher:	Springer International Publishing
Publication date:	10/11/2016
Series:	Lecture Notes in Mathematics , #2166
Edition description:	1st ed. 2016
Pages:	136
Product dimensions:	6.10(w) x 9.25(h) x (d)

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.