翻訳と辞書 Words near each other ・ Curzon Park Abbey ・ Curzon Street ・ Curzon Street railway station ・ Curzon Wyllie ・ Curzon, Vendée ・ Curçay-sur-Dive ・ Curú Wildlife Refuge ・ Curătura River ・ Curături ・ Curături River ・ Curățele ・ CUS ・ Cus D'Amato ・ CUS Genova Hockey ・ CUS Milano ・ Curvature invariant ・ Curvature invariant (general relativity) ・ Curvature LLC ・ Curvature of a measure ・ Curvature of Riemannian manifolds ・ Curvature tensor ・ Curvatures of the stomach ・ Curve ・ Curve (band) ・ Curve (design magazine) ・ Curve (disambiguation) ・ Curve (Doc Walker album) ・ Curve (film) ・ Curve (magazine) ・ Curve (Our Lady Peace album) Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Curvature invariant ： ウィキペディア英語版 Curvature invariant In Riemannian geometry and pseudo-Riemannian geometry, curvature invariants are scalar quantities constructed from tensors that represent curvature. These tensors are usually the Riemann tensor, the Weyl tensor, the Ricci tensor and tensors formed from these by the operations of taking dual contractions and covariant differentiations. ==Types of curvature invariants== The invariants most often considered are ''polynomial invariants''. These are polynomials constructed from contractions such as traces. Second degree examples are called ''quadratic invariants'', and so forth. Invariants constructed using covariant derivatives up to order n are called n-th order ''differential invariants''. The Riemann tensor is a multilinear operator of fourth rank acting on tangent vectors. However, it can also be considered a linear operator acting on bivectors, and as such it has a characteristic polynomial, whose coefficients and roots (eigenvalues) are polynomial scalar invariants. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Curvature invariant」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.