Affine Differential Geometry: Geometry of Affine Immersions

by Katsumi Nomizu, Takeshi Sasaki

Overview

Affine differential geometry has undergone a period of revival and rapid progress in the past decade. This book is a self-contained and systematic account of affine differential geometry from a contemporary view. It covers not only the classical theory, but also introduces the modern developments of the past decade. 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 latter. Some of the important geometric surfaces considered are illustrated by computer graphics.

Product Details

ISBN-13:	9780521441773
Publisher:	Cambridge University Press
Publication date:	11/10/1994
Series:	Cambridge Tracts in Mathematics , #111
Pages:	280
Product dimensions:	5.98(w) x 9.02(h) x 0.75(d)

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.

Editorial Reviews

"...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

From the Publisher