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Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincare Conjecture
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- 432 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincare Conjecture
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About This Book
Focusing on Sobolev inequalities and their applications to analysis on manifolds and Ricci flow, Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincare Conjecture introduces the field of analysis on Riemann manifolds and uses the tools of Sobolev imbedding and heat kernel estimates to study Ricci flows, especially with surgeries. The
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Yes, you can access Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincare Conjecture by Qi S. Zhang in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.
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Table of contents
- Front cover
- Preface
- Contents
- Chapter 1. Introduction
- Chapter 2. Sobolev inequalities in the Euclidean space
- Chapter 3. Basics of Riemann geometry
- Chapter 4. Sobolev inquealities on manifolds and some consequences
- Chapter 5. Basics of Ricci flow
- Chapter 6. Perelman's entropies and Sobolev inequality for Ricci flow, the smooth case
- Chapter 7. Properties of ancient k solutions and singularity analysis for 3-dimensional Ricci flow
- Chapter 8. Sobolev inequality and the Ricci flow, the case with surgeries
- Chapter 9. Applications to the proof of Poincare conjecture
- Bibliography
- Index
- Back cover