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Semi-Riemannian Geometry With Applications to Relativity : Volume 103 - Barrett O'Neill

Semi-Riemannian Geometry With Applications to Relativity

Volume 103

Hardcover Published: 29th July 1983
ISBN: 9780125267403
Number Of Pages: 468

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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.

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
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780125267403
ISBN-10: 0125267401
Series: Pure and Applied Mathematics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 468
Published: 29th July 1983
Publisher: Elsevier Science Publishing Co Inc
Country of Publication: US
Dimensions (cm): 23.8 x 16.5  x 3.5
Weight (kg): 0.77
Edition Number: 103

Earn 217 Qantas Points
on this Book

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