Affine Differential Geometry Geometry of Affine Immersions [Paperback]

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