Semi-Riemannian Geometry With Applications to Relativity

Barrett O'Neill

ISBN 10: 0125267401 / ISBN 13: 9780125267403

Published by Elsevier Science Publishing Co Inc, US, 1983

About this Item

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.

Seller Inventory # LU-9780125267403

Bibliographic Details

• Title: Semi-Riemannian Geometry With Applications to Relativity
• Publisher: Elsevier Science Publishing Co Inc, US
• Publication Date: 1983
• Language: English
• ISBN 10: 0125267401
• ISBN 13: 9780125267403
• Binding: Hardback
• Condition: New
• Dimensions: 15.6W x 2.69H x 23.39D centimeters 15.6 centimeters width by 2.69 centimeters height by 23.39 centimeters depth
• Weight: 785 grams

About this title

Synopsis

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.

About the Author

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.