Author:
Barrett O'Neill

ISBN 13:
9780125267403

ISBN 10:
125267401

Edition:
1

Publisher:
Academic Press

Publication Date:
1983-07-12

Format:
Hardcover

Pages:
468

List Price:
$72.95

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.