Semi-Riemannian Maps and Their Applications (Hardcover) (ISBN-13: 9780792356615)

A major flaw in semi-Riemannian geometry is a shortage of suitable types of maps between semi-Riemannian manifolds that will compare their geometric properties. Here, a class of such maps called semi-Riemannian maps is introduced. The main purpose of this book is to present results in semi-Riemannian geometry obtained by the existence of such a map between semi-Riemannian manifolds, as well as to encourage the reader to explore these maps.
The first three chapters are devoted to the development of fundamental concepts and formulas in semi-Riemannian geometry which are used throughout the work. In Chapters 4 and 5 semi-Riemannian maps and such maps with respect to a semi-Riemannian foliation are studied. Chapter 6 studies the maps from a semi-Riemannian manifold to 1-dimensional semi- Euclidean space. In Chapter 7 some splitting theorems are obtained by using the existence of a semi-Riemannian map.
Audience: This volume will be of interest to mathematicians and physicists whose work involves differential geometry, global analysis, or relativity and gravitation.

Author: Eduardo García-Río,D. N. Kupeli
ISBN-10: 0792356616
ISBN-13: 9780792356615
Publisher: Springer
Language: English
Published: 04/30/1999
Pages: 198
Format: Hardcover
Weight: 1.05lbs
Size: 9.21h x 6.14w x 0.50d