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Semi-Riemannian Maps and Their Applications by Eduardo García-Río, Demir N. Kupeli (auth.) is a nonfiction available to read on EtoBox.

What is Semi-Riemannian Maps and Their Applications about?

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.

Who reads Semi-Riemannian Maps and Their Applications?

Author

Eduardo García-Río, Demir N. Kupeli (auth.)

Publisher

Springer Netherlands

Published

1999

Language

EN

ISBN

9789401729796

Category

nonfiction

Subjects

Mathematics, Science, Physics