Semi-Riemannian Geometry With Applications to Relativity

Volume 103

By: Barrett O'Neill

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Hardcover | 1 June 1983 | Edition Number 103

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488 Pages

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23.7 x 16.5 x 3.5

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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.

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You Can Find This Book In

Non-Fiction Mathematics Geometry Analytic Geometry Differential & Riemannian Geometry Science Physics Relativity Physics

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.

Semi-Riemannian Geometry With Applications to Relativity

Volume 103

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

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