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Semi-Riemannian Maps and Their Applications

  • Eduardo García-Río
  • Demir N. Kupeli

Part of the Mathematics and Its Applications book series (MAIA, volume 475)

Table of contents

  1. Front Matter
    Pages i-x
  2. Eduardo García-Río, Demir N. Kupeli
    Pages 1-18
  3. Eduardo García-Río, Demir N. Kupeli
    Pages 19-57
  4. Eduardo García-Río, Demir N. Kupeli
    Pages 59-82
  5. Eduardo García-Río, Demir N. Kupeli
    Pages 83-100
  6. Eduardo García-Río, Demir N. Kupeli
    Pages 101-115
  7. Eduardo García-Río, Demir N. Kupeli
    Pages 143-162
  8. Back Matter
    Pages 163-198

About this book

Introduction

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.

Keywords

Riemannian geometry differential geometry geometry gravity manifold relativity theory of relativity

Authors and affiliations

  • Eduardo García-Río
    • 1
  • Demir N. Kupeli
    • 2
  1. 1.University of Santiago de CompostelaSantiagoSpain
  2. 2.Middle East Technical UniversityAnkaraTurkey

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-017-2979-6
  • Copyright Information Springer Science+Business Media B.V. 1999
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-5202-5
  • Online ISBN 978-94-017-2979-6
  • Buy this book on publisher's site
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