圖書標籤: 黎曼幾何 數學 微分幾何7 mathematics Geometry
发表于2024-11-23
Semi-Riemannian Geometry with Applications to Relativity pdf epub mobi txt 電子書 下載 2024
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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Semi-Riemannian Geometry with Applications to Relativity pdf epub mobi txt 電子書 下載 2024