Affine Differential Geometry

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

Affine differential geometry has undergone a period of revival and rapid progress. This book is a self-contained and systematic account of the theory from a more contemporary viewpoint, and emphasizes its relationship to other areas of 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.