Semi-Riemannian geometry : with applications to relativity

＜図書＞
Semi-Riemannian geometry : with applications to relativity

責任表示	Barrett O'Neill
シリーズ	Pure and applied mathematics : a series of monographs and textbooks ; 103
データ種別	図書
出版情報	Orlando ; Tokyo : Academic Press , 1983
本文言語	英語
大きさ	xiii, 468 p. ; 24 cm
概要	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 principa... 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. 続きを見る

一般注記	Bibliography: p. 456-457 Includes index
著者標目	*O'Neill, Barrett
件　名	LCSH:Geometry, Riemannian LCSH:Manifolds (Mathematics) LCSH:Calculus of tensors LCSH:Relativity (Physics)
分　類	LCC:QA3 LCC:QA649 DC19:510 s DC19:516.3/73
書誌ID	1001103788
ISBN	0125267401
NCID	BA03595134
巻冊次	ISBN:0125267401
登録日	2009.09.17
更新日	2009.09.17