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・ Conformal equivalence
・ Conformal family
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・ Conformal geometric algebra
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・ Conformal group
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・ Conformal loop ensemble
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Conformal vector field
・ Conformal welding
・ Conformally flat manifold
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・ Conformational dynamics data bank
・ Conformational ensembles
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Conformal vector field : ウィキペディア英語版
Conformal vector field
A conformal vector field (often conformal Killing vector field and occasionally conformal or conformal collineation) of a Riemannian manifold (M,g) is a vector field X that satisfies:
:\mathcal_X g=\varphi g
for some smooth real-valued function \varphi on M, where \mathcal_X g denotes the Lie derivative of the metric g with respect to X. In the case that \varphi is identically zero, X is called a Killing vector field.
==See also==

* Affine vector field
* Curvature collineation
* 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「Conformal vector field」の詳細全文を読む



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