This book is an exposition of semiRiemannian geometry (also called pseudoRiemannian 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 coordinatefree 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 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.Details Book
Author  :  Barrett O'Neill 
Publisher  :  Academic Press Inc 
Data Published  :  29 July 1983 
ISBN  :  0125267401 
EAN  :  9780125267403 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  468 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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