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Semi-Riemannian Geometry with Applications to Relativity
Barrett O´neill
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Description for Semi-Riemannian Geometry with Applications to Relativity
Hardcover. .
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.
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.
Product Details
Publisher
Elsevier Science Publishing Co Inc United States
Number of pages
468
Format
Hardback
Publication date
1983
Series
Pure & Applied Mathematics
Condition
New
Weight
868g
Number of Pages
488
Place of Publication
San Diego, United States
ISBN
9780125267403
SKU
V9780125267403
Shipping Time
Usually ships in 4 to 8 working days
Ref
99-1
About Barrett O´neill
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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