List questions from differential-forms

Published on 25 Mar 2026 - 1:35

63

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Line-integral: 2-form integrated over cube

Published on 20 May 2018 - 9:38

235

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proof that two curves are not homotopic

Published on 25 Mar 2026 - 4:38

481

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Definition of hermitian structure on a complex manifold and the associated form

Published on 26 Mar 2026 - 4:34

1.1k

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De Rham cohomology of punctured manifold

Published on 25 Mar 2026 - 23:27

119

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Relating Differential equations and exact differential forms

Published on 22 May 2018 - 6:02

52

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Every $2$-Forms on $\mathbb{R}^3$ can be written as edge of $1$-Forms

Published on 24 Mar 2026 - 23:55

64

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Does a map which preserve harmonic forms preserve co-closed forms (locally)?

Published on 25 Mar 2026 - 18:46

74

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Is a map which commutes with the codifferential an isometry?

Published on 25 Mar 2026 - 1:22

76

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The rank of a linear transformation $A: E \longrightarrow F$ is the largest integer such that the pullback of A is not zero

Published on 24 May 2018 - 2:46

118

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Typo in Spivak’s Mechanics?

Published on 25 Mar 2026 - 15:05

29

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Write equation with linear coefficients in a certain form

Published on 25 May 2018 - 20:40

289

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Show that a $k$-form $\omega$ is smooth if only if it is smooth as map $\omega : M\rightarrow \Lambda ^k(M)$

Published on 27 May 2018 - 13:16

201

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$k$-form $\omega$ is smooth iff it is smooth as a section $\omega \colon M\rightarrow \Lambda ^k(M)$ of $\pi$

Published on 27 May 2018 - 16:17

865

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Level set representation of 1-forms in univariate functions

Published on 25 Mar 2026 - 1:36

List Question

Calculation of line-integral

Line-integral: 2-form integrated over cube

proof that two curves are not homotopic

Definition of hermitian structure on a complex manifold and the associated form

De Rham cohomology of punctured manifold

Relating Differential equations and exact differential forms

Every $2$-Forms on $\mathbb{R}^3$ can be written as edge of $1$-Forms

Does a map which preserve harmonic forms preserve co-closed forms (locally)?

Is a map which commutes with the codifferential an isometry?

The rank of a linear transformation $A: E \longrightarrow F$ is the largest integer such that the pullback of A is not zero

Typo in Spivak’s Mechanics?

Write equation with linear coefficients in a certain form

Show that a $k$-form $\omega$ is smooth if only if it is smooth as map $\omega : M\rightarrow \Lambda ^k(M)$

$k$-form $\omega$ is smooth iff it is smooth as a section $\omega \colon M\rightarrow \Lambda ^k(M)$ of $\pi$

Level set representation of 1-forms in univariate functions

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