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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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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Book Description Academic Press, 1983. Paperback. Book Condition: Brand New. 482 pages. 9.00x6.00x1.09 inches. This item is printed on demand. Bookseller Inventory # zk0123994616
Book Description Academic Press, 2011. Paperback. Book Condition: New. book. Bookseller Inventory # M0123994616
Book Description Academic Press, 2011. Paperback. Book Condition: New. Never used!. Bookseller Inventory # P110123994616