Semi-Riemannian Geometry With Applications to Relativity, 103 / Edition 1

Semi-Riemannian Geometry With Applications to Relativity, 103 / Edition 1

by Barrett O'Neill
     
 

View All Available Formats & Editions

ISBN-10: 0125267401

ISBN-13: 9780125267403

Pub. Date: 07/12/1983

Publisher: Elsevier Science

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

Overview

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.

Product Details

ISBN-13:
9780125267403
Publisher:
Elsevier Science
Publication date:
07/12/1983
Series:
Pure and Applied Mathematics Series, #103
Edition description:
New Edition
Pages:
468
Sales rank:
784,700
Product dimensions:
1.06(w) x 6.14(h) x 9.21(d)

Table of Contents

Manifold Theory. Tensors. Semi-Riemannian Manifolds. Semi-Riemannian Submanifolds. Riemannian and Lorenz Geometry. Special Relativity. Constructions. Symmetry and Constant Curvature. Isometries. Calculus of Variations. Homogeneous and Symmetric Spaces. General Relativity. Cosmology. Schwarzschild Geometry. Causality in Lorentz Manifolds. Fundamental Groups and Covering Manifolds. Lie Groups. Newtonian Gravitation.

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >