Affine Differential Geometry
Geometry of Affine Immersions

A self-contained account of the theory of differential geometry, suitable for graduate students.

Katsumi Nomizu (Author), Takeshi Sasaki (Author)

9780521064392, Cambridge University Press

Paperback / softback, published 5 June 2008

280 pages, 12 b/w illus.
22.8 x 15.1 x 1.6 cm, 0.416 kg

"...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

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.

1. Affine geometry and affine connections
2. Geometry of affine immersions: the basic theory
3. Models with remarkable properties
4. Affine-geometric structures.

Subject Areas: Differential & Riemannian geometry [PBMP]