Semi-Riemannian Maps and Their Applications [electronic resource] /

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.

Bibliographic Details

Main Authors:	García-Río, Eduardo. author., Kupeli, Demir N. author., SpringerLink (Online service)
Format:	Texto biblioteca
Language:	eng
Published:	Dordrecht : Springer Netherlands : Imprint: Springer, 1999
Subjects:	Mathematics., Global analysis (Mathematics)., Manifolds (Mathematics)., Differential geometry., Physics., Differential Geometry., Global Analysis and Analysis on Manifolds., Theoretical, Mathematical and Computational Physics.,
Online Access:	http://dx.doi.org/10.1007/978-94-017-2979-6
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