Semi-Riemannian Maps and Their Applications (Paperback, Softcover reprint of the original 1st ed. 1999)

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.

General

Imprint:	Springer
Country of origin:	Netherlands
Series:	Mathematics and Its Applications, 475
Release date:	December 2010
First published:	1999
Authors:	Eduardo Garcia-Rio • D.N. Kupeli
Dimensions:	279 x 210 x 11mm (L x W x T)
Format:	Paperback
Pages:	198
Edition:	Softcover reprint of the original 1st ed. 1999
ISBN-13:	978-90-481-5202-5
Categories:	Books > Science & Mathematics > Mathematics > Numerical analysis Books > Science & Mathematics > Physics > General Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry Books > Science & Mathematics > Mathematics > Applied mathematics > General
LSN:	90-481-5202-X
Barcode:	9789048152025

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