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Sobolev inequalities, heat kernels under Ricci flow, and the Poincare conjecture /

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Bibliographic Details
Main Author: Zhang, Qi S. (Author)
Corporate Author: Taylor & Francis
Format: eBook
Language:English
Published: Boca Raton : Chapman and Hall/CRC, 2011.
Subjects:
Inequalities (Mathematics)
Sobolev spaces.
Ricci flow.
Poincare conjecture.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • chapter 1 Introduction
  • chapter 2 Sobolev inequalities in the Euclidean space
  • chapter 3 Basics of Riemann geometry
  • chapter 4 Sobolev inequalities on manifolds
  • chapter 5 Basics of Ricci flow
  • chapter 6 Perelman's entropies and Sobolev inequality
  • chapter 7 Ancient κ solutions and singularity analysis
  • chapter 8 Sobolev inequality with surgeries
  • chapter 9 Applications to the Poincare´ conjecture.