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Curvature collineation : ウィキペディア英語版 | Curvature collineation A curvature collineation (often abbreviated to CC) is vector field which preserves the Riemann tensor in the sense that, : are the components of the Riemann tensor. The set of all smooth curvature collineations forms a Lie algebra under the Lie bracket operation (if the smoothness condition is dropped, the set of all curvature collineations need not form a Lie algebra). The Lie algebra is denoted by and may be infinite-dimensional. Every affine vector field is a curvature collineation. ==See also== * Conformal vector field * Homothetic vector field * Killing vector field * Matter collineation * Spacetime symmetries
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 collineation」の詳細全文を読む
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