Semi-Riemannian Maps and Their Applications PDF Download

Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Semi-Riemannian Maps and Their Applications PDF full book. Access full book title Semi-Riemannian Maps and Their Applications by Eduardo García-Río. Download full books in PDF and EPUB format.

Semi-Riemannian Maps and Their Applications

Semi-Riemannian Maps and Their Applications PDF Author: Eduardo García-Río
Publisher: Springer Science & Business Media
ISBN: 9401729794
Category : Mathematics
Languages : en
Pages : 203

Get Book Here

Book Description
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.