Semi-Riemannian Geometry With Applications to Relativity

Semi-Riemannian Geometry With Applications to Relativity

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Semi-Riemannian Geometry With Applications to Relativity by Barrett O'neill

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.
Barrett O'Neill is currently a Professor in the Department of Mathematics at the University of California, Los Angeles. He has written two other books in advanced mathematics.
SKU Unavailable
ISBN 13 9780125267403
ISBN 10 0125267401
Title Semi-Riemannian Geometry With Applications to Relativity
Author Barrett O'neill
Series Pure And Applied Mathematics
Condition Unavailable
Binding Type Hardback
Publisher Elsevier Science Publishing Co Inc
Year published 1983-07-29
Number of pages 488
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note Unavailable