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2010, ISBN: 904815202X

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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-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.

Informations détaillées sur le livre - Semi-Riemannian Maps and Their Applications


EAN (ISBN-13): 9789048152025
ISBN (ISBN-10): 904815202X
Livre de poche
Date de parution: 2010
Editeur: Springer Netherlands
212 Pages
Poids: 0,328 kg
Langue: eng/Englisch

Livre dans la base de données depuis 2011-04-18T15:44:49+02:00 (Zurich)
Page de détail modifiée en dernier sur 2024-03-03T19:23:36+01:00 (Zurich)
ISBN/EAN: 9789048152025

ISBN - Autres types d'écriture:
90-481-5202-X, 978-90-481-5202-5
Autres types d'écriture et termes associés:
Auteur du livre: rio, río
Titre du livre: riemann, semi riemannian applications


Données de l'éditeur

Auteur: Eduardo García-Río; D.N. Kupeli
Titre: Mathematics and Its Applications; Semi-Riemannian Maps and Their Applications
Editeur: Springer; Springer Netherland
198 Pages
Date de parution: 2010-12-08
Dordrecht; NL
Imprimé / Fabriqué en
Langue: Anglais
106,99 € (DE)
109,99 € (AT)
118,00 CHF (CH)
POD
X, 198 p.

BC; Hardcover, Softcover / Mathematik/Geometrie; Differentielle und Riemannsche Geometrie; Verstehen; Riemannian geometry; differential geometry; geometry; gravity; manifold; relativity; theory of relativity; Differential Geometry; Global Analysis and Analysis on Manifolds; Theoretical, Mathematical and Computational Physics; Mathematische Analysis, allgemein; Mathematische Physik; BB; EA

1 Linear Algebra of Indefinite Inner Product Spaces.- 2 Semi-Riemannian Manifolds.- 3 Second Fundamental Form of a Map.- 4 Semi-Riemannian Maps.- 5 Semi-Riemannian Transversal Maps.- 6 Semi-Riemannian Eikonal Equations and The Semi-Riemannian Regular Interval Theorem.- 7 Applications To Splitting Theorems.- A Submanifolds of Semi-Riemannian Manifolds.- A.1 Semi-Riemannian Submanifolds.- A.2 Degenerate Submanifolds.- B Riemannian and Lorentzian Geometry.- B.1 Riemannian Geometry.- B.2 Lorentzian Geometry.

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