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 Non disponible
ISBN 13 9780125267403
ISBN 10 0125267401
Titre Semi-Riemannian Geometry With Applications to Relativity
Auteur Barrett O'neill
Série Pure And Applied Mathematics
État Non disponible
Type de reliure Hardback
Éditeur Elsevier Science Publishing Co Inc
Année de publication 1983-07-29
Nombre de pages 488
Note de couverture La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier.
Note Non disponible