Ricci Flow and Geometric Applications

Cetraro, Italy 2010

  • Michel Boileau
  • Gerard Besson
  • Carlo Sinestrari
  • Gang Tian
  • Riccardo Benedetti
  • Carlo Mantegazza

Part of the Lecture Notes in Mathematics book series (LNM, volume 2166)

Also part of the C.I.M.E. Foundation Subseries book sub series (LNMCIME, volume 2166)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Carlo Sinestrari
    Pages 71-104
  3. Gang Tian
    Pages 105-136
  4. Back Matter
    Pages 137-138

About this book

Introduction

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.

Keywords

53C44, 57M50, 57M40 Ricci flow Manifolds Geometrization Poincare' conjecture Ricci tensor Kahler-Ricci flow

Authors and affiliations

  • Michel Boileau
    • 1
  • Gerard Besson
    • 2
  • Carlo Sinestrari
    • 3
  • Gang Tian
    • 4
  1. 1.Aix-Marseille Université, CNRS, Central Marseille Institut de Mathematiques de MarseilleMarseilleFrance
  2. 2.Institut FourierUniversité Grenoble AlpesGrenobleFrance
  3. 3.Dip. di Ingegneria Civile e Ingegneria InformaticaUniversità di Roma “Tor Vergata”RomeItaly
  4. 4.Princeton UniversityPrincetonUSA

Editors and affiliations

  • Riccardo Benedetti
    • 1
  • Carlo Mantegazza
    • 2
  1. 1.Department of MathematicsUniversity of PisaPisaItaly
  2. 2.Department of MathematicsUniversity of NaplesNaplesItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-42351-7
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-42350-0
  • Online ISBN 978-3-319-42351-7
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book