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Semi-Riemannian Maps and Their Applications

Semi-Riemannian Maps and Their Applications

Paperback

Series: Mathematics and Its Applications, Book 475

Medical ReferenceGeometry

ISBN10: 904815202X
ISBN13: 9789048152025
Publisher: Springer Nature
Published: Dec 8 2010
Pages: 198
Weight: 0.67
Height: 0.45 Width: 6.14 Depth: 9.21
Language: English
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.

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