List questions from differential-forms

Published on 22 Nov 2015 - 19:03

319

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$\int _c \omega$ is independent of orientation-preserving re-parameterization of c

Published on 23 Nov 2015 - 2:26

47

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Using differential forms to define line integrals

Published on 23 Nov 2015 - 21:38

526

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Support of Pullback of Differential form

Published on 24 Nov 2015 - 7:58

70

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$d(\iota_v\rho)=0 \implies d(\phi\iota_v\rho)=d\phi(v)\rho$?

Published on 27 Nov 2015 - 8:15

40

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Building Non-vanishing sections in a certain way

Published on 02 Apr 2026 - 17:12

125

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Interpretation of $d\phi(z)$ in differential geometry

Published on 29 Mar 2026 - 18:15

42

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Let $f\colon \Bbb R^n \to \Bbb R^n$ be the translation, $f(x)=x+a$. Show that $\deg(f)=1$

Published on 28 Nov 2015 - 20:24

629

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The wedge product of a $1$-form and a $2$-form

Published on 29 Nov 2015 - 0:23

240

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Is there a way to compute the Poincaré dual of the following type of degree $(2n-2)$ de Rham class?

Published on 23 Feb 2026 - 15:26

149

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Show that $\omega^{2}\wedge\cdots\wedge\omega^{2}$ n times is equal to

Published on 24 Feb 2026 - 18:10

701

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Wedge product: $\,\omega \wedge \eta= (-1)^{kl} \eta \wedge \omega$

Published on 28 Mar 2026 - 12:49

452

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Comass of a differential form

Published on 28 Mar 2026 - 3:26

816

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Divergence, contraction and lie derivatives

Published on 05 Dec 2015 - 16:00

336

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Differential forms, projections

Published on 05 Dec 2015 - 18:30

List Question

Why do we care about differential forms? (Confused over construction)

$\int _c \omega$ is independent of orientation-preserving re-parameterization of c

Using differential forms to define line integrals

Support of Pullback of Differential form

$d(\iota_v\rho)=0 \implies d(\phi\iota_v\rho)=d\phi(v)\rho$?

Building Non-vanishing sections in a certain way

Interpretation of $d\phi(z)$ in differential geometry

Let $f\colon \Bbb R^n \to \Bbb R^n$ be the translation, $f(x)=x+a$. Show that $\deg(f)=1$

The wedge product of a $1$-form and a $2$-form

Is there a way to compute the Poincaré dual of the following type of degree $(2n-2)$ de Rham class?

Show that $\omega^{2}\wedge\cdots\wedge\omega^{2}$ n times is equal to

Wedge product: $\,\omega \wedge \eta= (-1)^{kl} \eta \wedge \omega$

Comass of a differential form

Divergence, contraction and lie derivatives

Differential forms, projections

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