List questions from differential-forms

Published on 13 May 2015 - 7:16

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Is this differential 2-form closed

Published on 13 May 2015 - 12:05

1.5k

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Is $\omega=\sin\varphi\,\mathrm{d}\theta\wedge\mathrm{d}\varphi$ an exact form?

Published on 13 May 2015 - 22:53

1.3k

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For $(n-1)$-form $\omega$ on $M^{n}$ compact, orientable without boundary, then $d\omega$ vanish for some point

Published on 13 May 2015 - 23:31

9.1k

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Volume form on $(n-1)$-sphere $S^{n-1}$

Published on 02 Apr 2026 - 0:24

1.9k

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Lie derivative for a wedge product $\omega_{1}\wedge\omega_{2}$

Published on 26 Mar 2026 - 19:18

615

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The adjoint of left exterior multiplication by $\xi^\flat$ for Hodge star operator

Published on 26 Mar 2026 - 21:27

494

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Pullback Solid Angle, Stereographic projection

Published on 17 May 2015 - 15:41

544

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Poincaré Lemma, differential forms and I do have troubles

Published on 18 May 2015 - 17:48

118

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Integral Over the N-Sphere in the framework of chains:

Published on 02 Apr 2026 - 13:59

93

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Cohomology classes of the DeRham cohomology

Published on 21 May 2015 - 18:46

414

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Notation for the set of holomorphic differential forms

Published on 27 Mar 2026 - 1:43

95

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Show $H_{dR}^1(S^n)=0$ for $n>1$ without de-Rham Theorem, and some similar questions.

Published on 24 May 2015 - 15:18

103

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show that $K=E_2[\omega_{12}(E_1)]-E_1[\omega_{12}(E_2)]-\omega_{12}(E_1)^2-\omega_{12}(E_2)^2$?

Published on 30 Mar 2026 - 3:55

134

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Standard integral Kähler form on $\mathbf{CP}^1 \times \mathbf{CP}^2$

Published on 27 May 2015 - 13:18

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Poincare: Change of form to a primitive 1-form

Is this differential 2-form closed

Is $\omega=\sin\varphi\,\mathrm{d}\theta\wedge\mathrm{d}\varphi$ an exact form?

For $(n-1)$-form $\omega$ on $M^{n}$ compact, orientable without boundary, then $d\omega$ vanish for some point

Volume form on $(n-1)$-sphere $S^{n-1}$

Lie derivative for a wedge product $\omega_{1}\wedge\omega_{2}$

The adjoint of left exterior multiplication by $\xi^\flat$ for Hodge star operator

Pullback Solid Angle, Stereographic projection

Poincaré Lemma, differential forms and I do have troubles

Integral Over the N-Sphere in the framework of chains:

Cohomology classes of the DeRham cohomology

Notation for the set of holomorphic differential forms

Show $H_{dR}^1(S^n)=0$ for $n>1$ without de-Rham Theorem, and some similar questions.

show that $K=E_2[\omega_{12}(E_1)]-E_1[\omega_{12}(E_2)]-\omega_{12}(E_1)^2-\omega_{12}(E_2)^2$?

Standard integral Kähler form on $\mathbf{CP}^1 \times \mathbf{CP}^2$

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