List questions from differential-forms

Published on 10 Apr 2026 - 15:03

85

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Comparison of two methods of applying Stokes' theorem to a specific example

Published on 09 Apr 2026 - 23:49

375

Views

What's the term for elements in (image of codifferential/adjoint exterior differential aka 3rd part of hodge decomposition theorem )?

Published on 27 Mar 2026 - 11:49

196

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Why convex? In Theorem 10.38 Rudin

Published on 11 Apr 2026 - 15:19

155

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Hodge decomposition seems to say co-exact component is zero

Published on 27 Mar 2026 - 10:09

143

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Consequence of Hodge decomposition: What is the norm here?

Published on 13 Apr 2026 - 2:42

601

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Hodge decomposition seems to say harmonic and exact is zero (and possibly (harmonic and co-exact) and (exact and co-exact))

Published on 27 Mar 2026 - 10:13

218

Views

Simple physical intuition for differential 1-form of a scalar function acting on a tangent vector?

Published on 29 Mar 2026 - 15:59

38

Views

Action of a Lie subgroup

Published on 12 Apr 2026 - 12:31

224

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Proving $[\mathcal{L}_X, \iota_Y] = \iota_{[X,Y]}$ using only Cartan's formula

Published on 12 Apr 2026 - 7:56

654

Views

Why do we need orientation to integrate on a manifold?

Published on 11 Apr 2026 - 16:15

67

Views

Riemannian submanifold measure - what is irradiance?

Published on 12 Apr 2026 - 4:01

584

Views

Pullback of an $n$-form by the inclusion map.

Published on 12 Apr 2026 - 5:55

121

Views

Calculating the area of the sphere

Published on 12 Apr 2026 - 5:37

90

Views

Showing that $d\theta(\partial\Psi/\partial\theta)=1$

Published on 01 Apr 2026 - 17:12

List Question

Two problems about 1-form

Comparison of two methods of applying Stokes' theorem to a specific example

What's the term for elements in (image of codifferential/adjoint exterior differential aka 3rd part of hodge decomposition theorem )?

Why convex? In Theorem 10.38 Rudin

Hodge decomposition seems to say co-exact component is zero

Consequence of Hodge decomposition: What is the norm here?

Hodge decomposition seems to say harmonic and exact is zero (and possibly (harmonic and co-exact) and (exact and co-exact))

Simple physical intuition for differential 1-form of a scalar function acting on a tangent vector?

Action of a Lie subgroup

Proving $[\mathcal{L}_X, \iota_Y] = \iota_{[X,Y]}$ using only Cartan's formula

Why do we need orientation to integrate on a manifold?

Riemannian submanifold measure - what is irradiance?

Pullback of an $n$-form by the inclusion map.

Calculating the area of the sphere

Showing that $d\theta(\partial\Psi/\partial\theta)=1$

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