Last Updated
：2025/12/02
Killing vector field
Noun
Japanese Meaning
「Killing vector field」とは、リーマン多様体などにおいて計量テンソルのリー微分がゼロとなるベクトル場を意味し、同義語として「Killing field」が使われます。 / これは、空間や時空の等長（対称性）を示すベクトル場であり、対称変換の無限小生成子としての役割を果たします。
（ plural ）
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Synonym of Killing field
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Killing vector field
A Killing vector field generates one-parameter groups of isometries on a Riemannian manifold.
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A Killing vector field generates one-parameter groups of isometries on a Riemannian manifold.
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