You are here

Spaces of Constant Curvature

Joseph A. Wolf
Publisher: 
AMS Chelsea Publishing
Publication Date: 
2011
Number of Pages: 
420
Format: 
Hardcover
Edition: 
6
Price: 
60.00
ISBN: 
978-0-8218-5282-8
Category: 
Monograph
[Reviewed by
Fernando Q. Gouvêa
, on
12/6/2010
]

See our review of the fifth edition. Apart from the change of publisher, the new edition attempts to indicate some of the developments in the subject since 1984. Most of the new material appears in chapter 3 and in the appendix to chapter 12.

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

Dummy View - NOT TO BE DELETED