List questions from differential-forms

25

Views

Does $\big( \frac{\partial^2 G}{\partial x^1 \partial x^3}-\frac{\partial^2 G}{\partial x^3 \partial x^1}\big)=0$?

Published on 16 Apr 2026 - 4:07

720

Views

Double exterior derivative

Published on 12 Apr 2026 - 20:52

254

Views

Why does $df\wedge dg$ represent the "density of curves" of constant $f$ and $g$?

Published on 12 Apr 2026 - 8:49

172

Views

Closedness of bi-invariant differential form

Published on 14 Apr 2026 - 3:05

85

Views

Volume form of manifold with metric $ds^2=\frac{dx^2}{x^2}+\frac{dy^2}{y^2}$

Published on 17 Apr 2026 - 13:09

353

Views

Local coordinates of one form on a principal bundle

Published on 12 Apr 2026 - 20:27

68

Views

$\phi(u, v) = (2u-v, 3u+2v) =: (x, y)$, compute: $ \phi^*(−ydx + 2xdy)$

Published on 15 Apr 2026 - 22:18

738

Views

Holomorphic and Harmonic $1-$ Forms on Riemann Surfaces

Published on 11 Apr 2026 - 8:57

42

Views

Existence of the partition of unity subordinate to the patches covering a surface

Published on 13 Apr 2026 - 16:49

356

Views

On the proof of the Künneth Formula (Bott, Tu, Proposition 9.12)

Published on 15 Apr 2026 - 18:41

139

Views

Why do positive densities exist on any smooth manifold?

Published on 12 Apr 2026 - 16:15

89

Views

Carroll's interpretation of 1-forms

Published on 13 Apr 2026 - 6:34

187

Views

Line integral over the image of a curve

Published on 16 Apr 2026 - 5:03

201

Views

Computing cohomology over a presheaf

Published on 13 Apr 2026 - 4:26

106

Views

Differential forms as maps vs as differentials in differential equation

Published on 13 Apr 2026 - 14:21

List Question

Does $\big( \frac{\partial^2 G}{\partial x^1 \partial x^3}-\frac{\partial^2 G}{\partial x^3 \partial x^1}\big)=0$?

Double exterior derivative

Why does $df\wedge dg$ represent the "density of curves" of constant $f$ and $g$?

Closedness of bi-invariant differential form

Volume form of manifold with metric $ds^2=\frac{dx^2}{x^2}+\frac{dy^2}{y^2}$

Local coordinates of one form on a principal bundle

$\phi(u, v) = (2u-v, 3u+2v) =: (x, y)$, compute: $ \phi^*(−ydx + 2xdy)$

Holomorphic and Harmonic $1-$ Forms on Riemann Surfaces

Existence of the partition of unity subordinate to the patches covering a surface

On the proof of the Künneth Formula (Bott, Tu, Proposition 9.12)

Why do positive densities exist on any smooth manifold?

Carroll's interpretation of 1-forms

Line integral over the image of a curve

Computing cohomology over a presheaf

Differential forms as maps vs as differentials in differential equation

Trending Questions

Popular # Hahtags

Popular Questions