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Spaces of Constant Curvature: Sixth Edition
About this Title
Joseph A. Wolf, University of California, Berkeley, Berkeley, CA
Publication: AMS Chelsea Publishing
Publication Year:
2011; Volume 372
ISBNs: 978-0-8218-5282-8 (print); 978-1-4704-1579-2 (online)
DOI: https://doi.org/10.1090/chel/372
Table of Contents
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Front/Back Matter
Riemannian geometry
- Chapter 1. Affine differential geometry
- Chapter 2. Riemannian curvature
The Euclidean space form problem
- Chapter 3. Flat Riemannian manifolds
The spherical space form problem
- Chapter 4. Representations of finite groups
- Chapter 5. Vincent’s work on the spherical space form problem
- Chapter 6. The classification of fixed point free groups
- Chapter 7. The solution to the spherical space form problem
Space form problems on symmetric spaces
- Chapter 8. Riemannian symmetric spaces
- Chapter 9. Space forms of irreducible symmetric spaces
- Chapter 10. Locally symmetric spaces of non-negative curvature
Space form problems on indefinite metric manifolds
- Chapter 11. Spaces of constant curvature
- Chapter 12. Locally isotropic manifolds
- Appendix to Chapter 12