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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

The exterior derivative of a differential form encodes how the field twists across the manifold.

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The exterior derivative of a differential form encodes how the field twists across the manifold.

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