List questions from divergence-operator

110

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Does $(\operatorname{div}fX)(a)=\langle\nabla f(a),X(a)\rangle+f(a)(\text{div}X)(a)$ hold for a scalar field $f$ and vector field $M$ on a manifold?

Published on 27 Mar 2026 - 21:03

152

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Help with a step in the derivation of the Voss-Weyl formula in A. Zee's text 'Einstein Gravity in a Nutshell'.

Published on 26 Sep 2020 - 16:18

202

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Curl of a vector cross the vector?

Published on 26 Mar 2026 - 22:17

33

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Tensor identity in orthogonal coordinate systems

Published on 26 Oct 2020 - 2:12

109

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determine $f(r)$ so that $\nabla \bullet \mathbf{F} = 0$

Published on 04 Nov 2020 - 21:42

90

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Divergence of spherically symetric vector field not the same as in polar coordinates?

Published on 12 Nov 2020 - 17:42

159

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How is the partial derivative with respect to normal related to the gradient of a scalar field?

Published on 23 Feb 2026 - 16:52

69

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Proving a version of Green's formula in functional analysis

Published on 22 Nov 2020 - 4:14

218

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Vector calculus "identities"

Published on 26 Mar 2026 - 22:12

60

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Orthogonal representation - Weyl decomposition

Published on 23 Nov 2020 - 10:29

130

Views

vector identities in solving wave equations with different speeds of propagation

Published on 26 Mar 2026 - 22:14

661

Views

How to remove divergence from any vector field?

Published on 02 Dec 2020 - 22:12

474

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Divergence of a matrix vector product.

Published on 04 Dec 2020 - 16:35

57

Views

Can you compute Laplacian, divergence, curl for a function?

Published on 23 Feb 2026 - 16:49

167

Views

A vectorial version of the div/curl lemma with divergence free potential.

Published on 09 Dec 2020 - 12:29

List Question

Does $(\operatorname{div}fX)(a)=\langle\nabla f(a),X(a)\rangle+f(a)(\text{div}X)(a)$ hold for a scalar field $f$ and vector field $M$ on a manifold?

Help with a step in the derivation of the Voss-Weyl formula in A. Zee's text 'Einstein Gravity in a Nutshell'.

Curl of a vector cross the vector?

Tensor identity in orthogonal coordinate systems

determine $f(r)$ so that $\nabla \bullet \mathbf{F} = 0$

Divergence of spherically symetric vector field not the same as in polar coordinates?

How is the partial derivative with respect to normal related to the gradient of a scalar field?

Proving a version of Green's formula in functional analysis

Vector calculus "identities"

Orthogonal representation - Weyl decomposition

vector identities in solving wave equations with different speeds of propagation

How to remove divergence from any vector field?

Divergence of a matrix vector product.

Can you compute Laplacian, divergence, curl for a function?

A vectorial version of the div/curl lemma with divergence free potential.

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