List questions from exterior-derivative

Published on 13 Jul 2018 - 6:46

89

Views

Show that $d(\omega ∧ \tau ) = (d\omega)∧\tau +(−1)^{\text{deg}\omega} w ∧d\tau.$

Published on 13 Jul 2018 - 14:43

69

Views

existence of de Rham complexes

Published on 26 Aug 2018 - 22:57

71

Views

Exterior derivative calculation in Chern and Hamilton paper

Published on 21 Sep 2018 - 6:28

1k

Views

The wedge of an exact form with a closed form is exact.

Published on 23 Sep 2018 - 22:58

430

Views

Confusion over an exterior derivative product

Published on 28 Sep 2018 - 4:40

243

Views

Product manifolds and exterior derivative with interior product

Published on 28 Oct 2018 - 18:36

133

Views

Exterior Derivative over Quaternions

Published on 14 Nov 2018 - 15:57

44

Views

find a vector field in $\mathbb{R^3}$ with specific properties

Published on 09 Dec 2018 - 23:04

604

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Properties of forms and pullbacks

Published on 25 Dec 2018 - 0:26

152

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Why is the exterior differential independent of the chosen basis?

Published on 30 Dec 2018 - 10:02

2.5k

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Building Intuition for Differential forms, exterior derivative, wedge

Published on 14 Jan 2019 - 15:44

259

Views

Given a differential form $\omega$, is there a differential form $\phi$ such that $\omega\wedge\phi$ is closed?

Published on 24 Jan 2019 - 15:58

144

Views

How can there be a non-covariant exterior derivative?

Published on 28 Feb 2019 - 16:02

536

Views

Is the shear of a vector field related to the exterior differential?

Published on 02 Mar 2019 - 16:49

List Question

What is the physical OR geometrical interpretation of the exterior derivative?

Show that $d(\omega ∧ \tau ) = (d\omega)∧\tau +(−1)^{\text{deg}\omega} w ∧d\tau.$

existence of de Rham complexes

Exterior derivative calculation in Chern and Hamilton paper

The wedge of an exact form with a closed form is exact.

Confusion over an exterior derivative product

Product manifolds and exterior derivative with interior product

Exterior Derivative over Quaternions

find a vector field in $\mathbb{R^3}$ with specific properties

Properties of forms and pullbacks

Why is the exterior differential independent of the chosen basis?

Building Intuition for Differential forms, exterior derivative, wedge

Given a differential form $\omega$, is there a differential form $\phi$ such that $\omega\wedge\phi$ is closed?

How can there be a non-covariant exterior derivative?

Is the shear of a vector field related to the exterior differential?

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