AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
Ricci Flow and the Sphere Theorem
About this Title
Simon Brendle, Stanford University, Stanford, CA
Publication: Graduate Studies in Mathematics
Publication Year:
2010; Volume 111
ISBNs: 978-0-8218-4938-5 (print); 978-1-4704-1173-2 (online)
DOI: https://doi.org/10.1090/gsm/111
MathSciNet review: MR2583938
MSC: Primary 53C20; Secondary 53C21, 53C44
Table of Contents
Download chapters as PDF
Front/Back Matter
Chapters
- Chapter 1. A survey of sphere theorems in geometry
- Chapter 2. Hamilton’s Ricci flow
- Chapter 3. Interior estimates
- Chapter 4. Ricci flow on $S^2$
- Chapter 5. Pointwise curvature estimates
- Chapter 6. Curvature pinching in dimension 3
- Chapter 7. Preserved curvature conditions in higher dimensions
- Chapter 8. Convergence results in higher dimensions
- Chapter 9. Rigidity results
- Appendix A. Convergence of evolving metrics
- Appendix B. Results from complex linear algebra
- Problems