I Riemannian geometry
1. Affine differential geometry
2. Riemannian curvature
II The Euclidean space form problem
3. Flat Riemannian manifolds
III The spherical space form problem
4. Representations of finite groups
5. Vincent's work on the spherical space form problem
6. The classification of fixed point free groups
7. The solution to the spherical space form problem
IV Space form problems on symmetric spaces
8. Riemannian symmetric spaces
9. Space forms of irreducible symmetric spaces
10. Locally symmetric spaces of non-negative curvature
V Space form problems on indefinite metric manifolds
11. Spaces of constant curvature
12. Locally isotropic manifolds
Appendix to Chapter 12
References
Additional references
Index