Semi-Riemannian Geometry With Applications to Relativity - Brossura

O'Neill, Barrett

9780123994615: Semi-Riemannian Geometry With Applications to Relativity

Brossura

ISBN 10: 0123994616 ISBN 13: 9780123994615

Casa editrice: Academic Press, 2011

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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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L'autore

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.

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