Semi-Riemannian maps and their applications /
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-Riemannia...
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| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht :
Springer,
[1999]
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| Series: | Mathematics and its applications (Kluwer Academic Publishers) ;
475. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (X, 198 pages) |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9789401729796 (electronic bk.) 9401729794 (electronic bk.) |