List questions from differential-forms

Published on 10 Apr 2026 - 17:47

352

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Finding an integral submanifold of an involutive distribution

Published on 08 Apr 2026 - 20:05

52

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General question about differential forms

Published on 11 Apr 2026 - 4:40

72

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Let $\omega$ be a differential form of order $k$, prove that $\omega=\sum_{|J|=k}^{'}\omega_J dx_J$

Published on 22 Feb 2021 - 16:22

68

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Construction and integration of differential forms

Published on 13 Apr 2026 - 0:01

71

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Definition of differential forms using the exterior algbera

Published on 13 Apr 2026 - 9:12

35

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Proving $D$ is an exterior derivative.

Published on 25 Feb 2021 - 2:16

148

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Local expression of differential forms of a vector bundle

Published on 07 Apr 2026 - 3:35

147

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What is the pullback of an alternating multilinear map

Published on 13 Apr 2026 - 0:44

122

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Integral notation in Shifrin's Multivariable Mathematics

Published on 13 Apr 2026 - 10:29

243

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Pull-back of differential forms

Published on 12 Apr 2026 - 3:54

101

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Second order "differential forms"?

Published on 01 Apr 2026 - 20:07

74

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If $M$ is connected and $\int_M \omega = 0,$ then $\omega = 0$?

Published on 12 Apr 2026 - 11:40

123

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If $\int_M \omega =0$ for all compact orientable manifold, then $\omega$ is closed

Published on 13 Apr 2026 - 14:33

103

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Prove $\nabla \cdot (X \times Y) = (\nabla \times X) \cdot Y - X \cdot (\nabla \times Y)$ by converting to the language of differential forms

Published on 07 Apr 2026 - 22:59

List Question

Raising the indices of the Hodge operator

Finding an integral submanifold of an involutive distribution

General question about differential forms

Let $\omega$ be a differential form of order $k$, prove that $\omega=\sum_{|J|=k}^{'}\omega_J dx_J$

Construction and integration of differential forms

Definition of differential forms using the exterior algbera

Proving $D$ is an exterior derivative.

Local expression of differential forms of a vector bundle

What is the pullback of an alternating multilinear map

Integral notation in Shifrin's Multivariable Mathematics

Pull-back of differential forms

Second order "differential forms"?

If $M$ is connected and $\int_M \omega = 0,$ then $\omega = 0$?

If $\int_M \omega =0$ for all compact orientable manifold, then $\omega$ is closed

Prove $\nabla \cdot (X \times Y) = (\nabla \times X) \cdot Y - X \cdot (\nabla \times Y)$ by converting to the language of differential forms

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