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

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Paperback 198 Pages / Published: 08/12/2010
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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.

Publisher: Springer
ISBN: 9789048152025
Number of pages: 198
Weight: 533 g
Dimensions: 279 x 210 x 11 mm
Edition: Softcover reprint of the original 1st ed. 199

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