Overview
- A self contained presentation of the proof of the differentiable sphere theorem
- A presentation of the geometry of vector bundles in a form suitable for geometric PDE
- A discussion of the history of the sphere theorem and of future challenges
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2011)
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Table of contents (15 chapters)
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Front Matter
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Back Matter
Keywords
About this book
Reviews
From the reviews:
“The book is dedicated almost entirely to the analysis of the Ricci flow, viewed first as a heat type equation hence its consequences, and later from the more recent developments due to Perelman’s monotonicity formulas and the blow-up analysis of the flow which was made thus possible. … is very enjoyable for specialists and non-specialists (of curvature flows) alike.” (Alina Stancu, Zentralblatt MATH, Vol. 1214, 2011)Authors and Affiliations
Bibliographic Information
Book Title: The Ricci Flow in Riemannian Geometry
Book Subtitle: A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem
Authors: Ben Andrews, Christopher Hopper
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-642-16286-2
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2011
Softcover ISBN: 978-3-642-16285-5Published: 25 November 2010
eBook ISBN: 978-3-642-16286-2Published: 09 November 2010
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XVIII, 302
Number of Illustrations: 11 b/w illustrations, 2 illustrations in colour
Topics: Partial Differential Equations, Differential Geometry, Global Analysis and Analysis on Manifolds