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Semi-Riemannian Geometry With Applications to Relativity (Volume 103) (Pure and Applied Mathematics, Volume 103) - Hardcover

O'Neill, Barrett

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9780125267403: Semi-Riemannian Geometry With Applications to Relativity (Volume 103) (Pure and Applied Mathematics, Volume 103)
Hardcover
ISBN 10: 0125267401 ISBN 13: 9780125267403
Publisher: Academic Press, 1983

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.

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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.

"About this title" may belong to another edition of this title.

Publisher
Academic Press
Publication date
1983
Language
English
ISBN 10 
0125267401
ISBN 13 
9780125267403
Binding
Hardcover
Edition number
1
Number of pages
488
Rating
  • 4.42 out of 5 stars
    19 ratings by Goodreads