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Semi-Riemannian Geometry With Applications to Relativity

1st Edition, Volume 103 - June 28, 1983

Author: Barrett O'Neill

Language: English
Hardback ISBN:
9 7 8 - 0 - 1 2 - 5 2 6 7 4 0 - 3
eBook ISBN:
9 7 8 - 0 - 0 8 - 0 5 7 0 5 7 - 0

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 sig… Read more

Semi-Riemannian Geometry With Applications to Relativity

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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.