Skip to main content
SpringerLink
Log in
Book cover

Ricci Flow and Geometric Applications

Cetraro, Italy 2010

  • Book
  • © 2016

Overview

Authors:
  1. Michel Boileau

    1. Aix-Marseille Université, CNRS, Central Marseille Institut de Mathematiques de Marseille, Marseille, France

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Gerard Besson

    1. Institut Fourier, Université Grenoble Alpes, Grenoble, France

    View author publications

    You can also search for this author in PubMed   Google Scholar

  3. Carlo Sinestrari

    1. Dip. di Ingegneria Civile e Ingegneria Informatica, Università di Roma “Tor Vergata”, Rome, Italy

    View author publications

    You can also search for this author in PubMed   Google Scholar

  4. Gang Tian

    1. Princeton University, Princeton, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

Editors:
  1. Riccardo Benedetti

    1. Department of Mathematics, University of Pisa, Pisa, Italy

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Carlo Mantegazza

    1. Department of Mathematics, University of Naples, Naples, Italy

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • 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

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

Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 49.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (4 chapters)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. The Differentiable Sphere Theorem (After S. Brendle and R. Schoen)

    • Gérard Besson
    Pages 1-19

  3. Thick/Thin Decomposition of Three-Manifolds and the Geometrisation Conjecture

    • Michel Boileau
    Pages 21-70

  4. Singularities of Three-Dimensional Ricci Flows

    • Carlo Sinestrari
    Pages 71-104

  5. Notes on Kähler-Ricci Flow

    • Gang Tian
    Pages 105-136

  6. Back Matter

    Pages 137-138
    Download chapter PDF
Back to top

Keywords

About this book

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.

Authors, Editors and Affiliations

  • Department of Mathematics, University of Pisa, Pisa, Italy

    Riccardo Benedetti

  • Department of Mathematics, University of Naples, Naples, Italy

    Carlo Mantegazza

  • Aix-Marseille Université, CNRS, Central Marseille Institut de Mathematiques de Marseille, Marseille, France

    Michel Boileau

  • Institut Fourier, Université Grenoble Alpes, Grenoble, France

    Gerard Besson

  • Dip. di Ingegneria Civile e Ingegneria Informatica, Università di Roma “Tor Vergata”, Rome, Italy

    Carlo Sinestrari

  • Princeton University, Princeton, USA

    Gang Tian

Bibliographic Information

  • Book Title: Ricci Flow and Geometric Applications

  • Book Subtitle: Cetraro, Italy 2010

  • Authors: Michel Boileau, Gerard Besson, Carlo Sinestrari, Gang Tian

  • Editors: Riccardo Benedetti, Carlo Mantegazza

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/978-3-319-42351-7

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing Switzerland 2016

  • Softcover ISBN: 978-3-319-42350-0Published: 11 September 2016

  • eBook ISBN: 978-3-319-42351-7Published: 09 September 2016

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XI, 136

  • Topics: Differential Geometry, Partial Differential Equations

Publish with us

Policies and ethics

Back to top

Search

Navigation