Authors:
Editors:
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)
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Table of contents (4 chapters)
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Front Matter
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Back Matter
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.
Keywords
- 53C44, 57M50, 57M40
- Ricci flow
- Manifolds
- Geometrization
- Poincare' conjecture
- Ricci tensor
- Kahler-Ricci flow
- partial differential equations
Authors, Editors and Affiliations
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Department of Mathematics, University of Pisa, Pisa, Italy
Riccardo Benedetti
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Department of Mathematics, University of Naples, Naples, Italy
Carlo Mantegazza
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Aix-Marseille Université, CNRS, Central Marseille Institut de Mathematiques de Marseille, Marseille, France
Michel Boileau
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Institut Fourier, Université Grenoble Alpes, Grenoble, France
Gerard Besson
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Dip. di Ingegneria Civile e Ingegneria Informatica, Università di Roma “Tor Vergata”, Rome, Italy
Carlo Sinestrari
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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