| Semi-Riemannian Geometry with Applications to Relativity: Volume 103 Contributor(s): O'Neill, Barrett (Author) |
|
 |
ISBN: 0125267401 ISBN-13: 9780125267403 Publisher: Academic Press OUR PRICE: $72.22 Product Type: Hardcover - Other Formats Published: June 1983 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - Analytic |
| Dewey: 516.373 |
| LCCN: 82013917 |
| Series: Pure and Applied Mathematics |
| Physical Information: 1.15" H x 6.35" W x 9.02" (1.70 lbs) 488 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |