# 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

**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. Vincentâ€™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