List questions from exterior-derivative

Published on 25 Mar 2019 - 2:20

486

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Prove the exterior derivative is a linear transformation of vector spaces.

Published on 31 Mar 2019 - 22:21

59

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Significance of function $I$ such that $\omega = I(d\omega) + d(I\omega)$ for differential forms

Published on 07 May 2019 - 18:05

1.3k

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Pullbacks commute with the exterior derivative

Published on 24 May 2019 - 10:14

188

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How to compute a wedge product? (Example) Compute $dX \wedge dY$.

Published on 28 May 2019 - 17:44

150

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If $f$ is a $0$-form and $dx$ a $1$-form, then does $f\ dx=f\wedge dx$?

Published on 05 Sep 2019 - 15:34

1.7k

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Why is the exterior derivative called exterior derivative

Published on 03 Jun 2014 - 11:49

191

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Canonical subbundle of cotangent bundle of a jet manifold

Published on 30 Oct 2019 - 5:40

65

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Exterior derivative on surfaces

Published on 01 Nov 2019 - 22:25

367

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Is df a 1-form or a "1-form field"?

Published on 04 Nov 2019 - 18:31

347

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Is there a partial exterior derivative?

Published on 06 Nov 2019 - 23:33

908

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Show that the path integral of the pullback of a 1-form is equal to the integral of the 1-form over the transformation image of the curve

Published on 09 Nov 2019 - 22:47

136

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Property of exterior derivative of alternating forms

Published on 12 Nov 2019 - 18:20

83

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Is $h(x,y,z) = \sin(x)\cos(z)$ harmonic?

Published on 14 Nov 2019 - 23:08

589

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Conformal invariance of Cotton tensor in dimension 3

Published on 20 Dec 2019 - 18:32

List Question

Exterior derivative of a vector valued function

Prove the exterior derivative is a linear transformation of vector spaces.

Significance of function $I$ such that $\omega = I(d\omega) + d(I\omega)$ for differential forms

Pullbacks commute with the exterior derivative

How to compute a wedge product? (Example) Compute $dX \wedge dY$.

If $f$ is a $0$-form and $dx$ a $1$-form, then does $f\ dx=f\wedge dx$?

Why is the exterior derivative called exterior derivative

Canonical subbundle of cotangent bundle of a jet manifold

Exterior derivative on surfaces

Is df a 1-form or a "1-form field"?

Is there a partial exterior derivative?

Show that the path integral of the pullback of a 1-form is equal to the integral of the 1-form over the transformation image of the curve

Property of exterior derivative of alternating forms

Is $h(x,y,z) = \sin(x)\cos(z)$ harmonic?

Conformal invariance of Cotton tensor in dimension 3

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