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Semi-Riemannian Maps and Their Applications : MATHEMATICS AND ITS APPLICATIONS (KLUWER ) - Eduardo Garcia-Rio

Semi-Riemannian Maps and Their Applications


By: Eduardo Garcia-Rio (Editor), Demir N. Kupeli (Editor)

Hardcover Published: 1st June 1999
ISBN: 9780792356615
Number Of Pages: 198

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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.

Linear Algebra of Indefinite Inner Product Spacesp. 1
Semi-Riemannian Manifoldsp. 19
Second Fundamental Form of a Mapp. 59
Semi-Riemannian Mapsp. 83
Semi-Riemannian Transversal Mapsp. 101
Semi-Riemannian Eikonal Equations and The Semi-Riemannian Regular Interval Theoremp. 117
Applications To Splitting Theoremsp. 143
Submanifolds of Semi-Riemannian Manifoldsp. 163
Riemannian and Lorentzian Geometryp. 181
Bibliographyp. 193
Indexp. 196
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792356615
ISBN-10: 0792356616
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 198
Published: 1st June 1999
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 25.4 x 17.15  x 2.54
Weight (kg): 0.5