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(differential geometry, tensor calculus, sometimes as differential p-form) A completely antisymmetric tensor (of order p) that is defined on a Riemannian manifold; an expression, derived by applying a formalism to said tensor, that represents an integrand over the manifold.

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differential form

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differential form

名詞

数学時々

(differential geometry, tensor calculus, sometimes as "differential p-form") A completely antisymmetric tensor (of order p) that is defined on a Riemannian manifold; an expression, derived by applying a formalism to said tensor, that represents an integrand over the manifold.

日本語の意味

微分形式：リーマン多様体上で定義される、完全反対称性を持つp次のテンソル。積分の被積分関数として表現され、微分幾何学やテンソル解析で用いられる。