ENGLISH

Semi-Riemannian Geometry With Applications to Relativity

By Barrett O'Neill

Book information

Publisher
Academic Press
Year
1983
ISBN
978-0-12-526740-3, 0-12-526740-1
ISSN
0079-8169
Language
english
Format
PDF
Filesize
10 MB (10366236 bytes)
Series
Pure and Applied Mathematics, Volume 103
Edition
1
Pages
468\471
Time added
2013-11-12 04:12:10

Description

This book is an exposition of semi-Riemannian geometry (also called pseudo-Riemannian geometry)--the study of a smooth manifold furnished with a metric tensor of arbitrary signature. The principal special cases are Riemannian geometry, where the metric is positive definite, and Lorentz geometry. For many years these two geometries have developed almost independently: Riemannian geometry reformulated in coordinate-free fashion and directed toward global problems, Lorentz geometry in classical tensor notation devoted to general relativity. More recently, this divergence has been reversed as physicists, turning increasingly toward invariant methods, have produced results of compelling mathematical interest.

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