List questions from differential-forms

Published on 20 Jun 2015 - 16:20

117

Views

Wedge product equality of 2n-forms in 2n+2 dimension

Published on 28 Mar 2026 - 7:37

106

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Computing the sheaf of 1-forms on a toric variety

Published on 25 Mar 2026 - 6:28

560

Views

Why does a differential form represent a vector field?

Published on 24 Jun 2015 - 19:28

89

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The lie bracket as a limit

Published on 30 Jun 2015 - 10:55

389

Views

Can a volume form on a submanifold be extended to a parallel form in a neighbourhood?

Published on 01 Jul 2015 - 12:40

109

Views

Notation for a projection of a differential form

Published on 28 Mar 2026 - 7:36

42

Views

Closedness of a complex $1$-form defined by homogeneous functions

Published on 02 Jul 2015 - 3:24

283

Views

The Euclidean Metric on $\mathbf R^3$ Induces an Index-Lowering Isomorphism $b:\mathfrak X(\mathbf R^3)\to \Omega^1(\mathbf R^3)$.

Published on 03 Jul 2015 - 12:44

503

Views

Closed form defines locally a function?

Published on 06 Jul 2015 - 22:13

388

Views

An exercise on differential forms

Published on 06 Jul 2015 - 23:19

74

Views

Linear Maps from $V$ to $V^*$ defined by a 2-form

Published on 08 Jul 2015 - 23:16

1k

Views

Show that $f^*\omega = \det(df) \, dx_1\wedge\cdots\wedge dx_n$

Published on 09 Jul 2015 - 17:23

127

Views

Finding a $1$-form on a hyperboloid of one sheet which is closed but not exact

Published on 10 Jul 2015 - 11:34

68

Views

Show that $d^2(w)=0$ for every $k$-form in $\mathbb{R}^n$

Published on 11 Jul 2015 - 0:11

List Question

Integration of $V$-valued differential form

Wedge product equality of 2n-forms in 2n+2 dimension

Computing the sheaf of 1-forms on a toric variety

Why does a differential form represent a vector field?

The lie bracket as a limit

Can a volume form on a submanifold be extended to a parallel form in a neighbourhood?

Notation for a projection of a differential form

Closedness of a complex $1$-form defined by homogeneous functions

The Euclidean Metric on $\mathbf R^3$ Induces an Index-Lowering Isomorphism $b:\mathfrak X(\mathbf R^3)\to \Omega^1(\mathbf R^3)$.

Closed form defines locally a function?

An exercise on differential forms

Linear Maps from $V$ to $V^*$ defined by a 2-form

Show that $f^*\omega = \det(df) \, dx_1\wedge\cdots\wedge dx_n$

Finding a $1$-form on a hyperboloid of one sheet which is closed but not exact

Show that $d^2(w)=0$ for every $k$-form in $\mathbb{R}^n$

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