List questions from differential-forms

Published on 28 May 2015 - 14:14

153

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Differential calculation in multiple variables function (cannot understand 2nd order differential form)

Published on 29 May 2015 - 9:43

117

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If $σ$ is an exact differential $1$-form on the plane, then the form $ω=σ+xdy$ is not exact

Published on 01 Jun 2015 - 10:20

218

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Construct a $k$-form on $S^k$ with nonzero integral

Published on 04 Jun 2015 - 17:55

224

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$e^{xy}dx \wedge dy$: determine the $1$-form that it induces on $S^1$ and check if the obtained $1$-form respects or not the induced orientation

Published on 08 Jun 2015 - 19:33

274

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exact and closed differential forms

Published on 09 Jun 2015 - 22:26

212

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(Co)Tangent bundle of Cone manifold

Published on 02 Apr 2026 - 3:15

511

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Exterior derivative of a form and $d(d\omega)=0$?

Published on 28 Mar 2026 - 6:00

563

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Pushforward injective

Published on 11 Jun 2015 - 23:24

465

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why is $\omega^n \neq 0$ for a nondegenerate 2 form $\omega$.

Published on 28 Mar 2026 - 6:00

2.7k

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Integrals of Pullbacks

Published on 25 Mar 2026 - 17:35

1k

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Symplectic form on 2-sphere?

Published on 29 Mar 2026 - 7:22

741

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How do you compute the pull-back of a complex differential (1,1)-form given its potential?

Published on 25 Mar 2026 - 22:10

76

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Exterior derivarive dependent only on point

Published on 17 Jun 2015 - 17:48

339

Views

Differential Forms on Surfaces. Show that $N\cdot (\nabla \times V)\eta=d\phi$ on $x(D)$.

Published on 02 Apr 2026 - 23:44

List Question

Proving that the pullback map commutes with the exterior derivative

Differential calculation in multiple variables function (cannot understand 2nd order differential form)

If $σ$ is an exact differential $1$-form on the plane, then the form $ω=σ+xdy$ is not exact

Construct a $k$-form on $S^k$ with nonzero integral

$e^{xy}dx \wedge dy$: determine the $1$-form that it induces on $S^1$ and check if the obtained $1$-form respects or not the induced orientation

exact and closed differential forms

(Co)Tangent bundle of Cone manifold

Exterior derivative of a form and $d(d\omega)=0$?

Pushforward injective

why is $\omega^n \neq 0$ for a nondegenerate 2 form $\omega$.

Integrals of Pullbacks

Symplectic form on 2-sphere?

How do you compute the pull-back of a complex differential (1,1)-form given its potential?

Exterior derivarive dependent only on point

Differential Forms on Surfaces. Show that $N\cdot (\nabla \times V)\eta=d\phi$ on $x(D)$.

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