List questions from differential-forms

83

Views

Prove $\dim {\rm Im}\ T = \dim W$ in the proof of the dimension theorem for the symplectic complement

Published on 23 Feb 2026 - 8:41

89

Views

Equivalent definitions of 1-forms

Published on 25 Mar 2026 - 15:39

108

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Prove that restricted to a vertical plane $dx \wedge dy = 0$.

Published on 27 Feb 2023 - 20:23

69

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Product rule (with respect to time) for a smooth family of differential forms

Published on 27 Feb 2023 - 21:07

85

Views

Let $\omega = x dx - ydy$ be a $1$-form on $\mathbb{R}^2$. Show that it's exact and find $f$ such that $\omega = df$.

Published on 01 Mar 2023 - 9:29

114

Views

What does it mean for a 1-form to be orthogonal to a 2-form?

Published on 26 Mar 2026 - 14:43

343

Views

What is a local coordinate of a chart?

Published on 29 Mar 2026 - 10:48

133

Views

Specifying holomorphic $1$-forms on an atlas

Published on 29 Mar 2026 - 10:46

120

Views

Counterexamples to "irrotational implies potential"

Published on 27 Mar 2026 - 2:39

58

Views

Surface integral over an oriented surface

Published on 06 Mar 2023 - 18:07

126

Views

Differential form $\sqrt{z}dz$ does not transform uniquely?

Published on 25 Mar 2026 - 16:13

122

Views

Jacobian of a 1-form on a manifold

Published on 27 Mar 2026 - 3:59

248

Views

Better understanding of integration of differential forms.

Published on 12 Mar 2023 - 19:03

186

Views

Relation between Lebesgue Integration and Integration on Differential Forms

Published on 13 Mar 2023 - 12:46

87

Views

Issues with differentials

Published on 29 Mar 2026 - 13:47

List Question

Prove $\dim {\rm Im}\ T = \dim W$ in the proof of the dimension theorem for the symplectic complement

Equivalent definitions of 1-forms

Prove that restricted to a vertical plane $dx \wedge dy = 0$.

Product rule (with respect to time) for a smooth family of differential forms

Let $\omega = x dx - ydy$ be a $1$-form on $\mathbb{R}^2$. Show that it's exact and find $f$ such that $\omega = df$.

What does it mean for a 1-form to be orthogonal to a 2-form?

What is a local coordinate of a chart?

Specifying holomorphic $1$-forms on an atlas

Counterexamples to "irrotational implies potential"

Surface integral over an oriented surface

Differential form $\sqrt{z}dz$ does not transform uniquely?

Jacobian of a 1-form on a manifold

Better understanding of integration of differential forms.

Relation between Lebesgue Integration and Integration on Differential Forms

Issues with differentials

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