Affine Differential Geometry
This is a self-contained and systematic account of affine differential geometry from a contemporary view, not only covering the classical theory, but also introducing more modern developments. In order both to cover as much as possible and to keep the text of a reasonable size, the authors have concentrated on the significant features of the subject and their relationship and application to such areas as Riemannian, Euclidean, Lorentzian and projective differential geometry. In so doing, they also provide a modern introduction to the last. Some of the important geometric surfaces considered are illustrated by computer graphics, making this a physically and mathematically attractive book for all researchers in differential geometry, and for mathematical physicists seeking a quick entry to the subject.
- No other book on this subject
- Nomizu well known for his classic book on differential geometry
- Provides only modern introduction to projective differential geometry
Reviews & endorsements
"...a very beautiful book, which will be cherished by anyone who works in the field...very pleasant to read; the authors take their time to explain everything very clearly and always come to the point...I enjoyed reading this excellent book, and I can recommend it to every differential geometer." Franki Dillen, Mathematical Reviews
Product details
June 2008Paperback
9780521064392
280 pages
228 × 151 × 16 mm
0.416kg
12 b/w illus.
Available
Table of Contents
- 1. Affine geometry and affine connections
- 2. Geometry of affine immersions: the basic theory
- 3. Models with remarkable properties
- 4. Affine-geometric structures.