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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,
:\mathcal_X R^a_ 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 CC(M) 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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