Semi-Riemannian Maps and Their Applications (Mathematics and Its Applications, 475)

García-Río, Eduardo, Kupeli, D.N.

ISBN 10: 904815202X / ISBN 13: 9789048152025

Published by Springer, 2010

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Bibliographic Details

• Title: Semi-Riemannian Maps and Their Applications (Mathematics and Its Applications, 475)
• Publisher: Springer
• Publication Date: 2010
• Language: English
• ISBN 10: 904815202X
• ISBN 13: 9789048152025
• Binding: Paperback
• Condition: Like New
• Book Type: book

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Synopsis

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.