List questions from differential-forms

309

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$df_1,...,df_k$ linearly independent $\Rightarrow \frac{\omega^n}{n!}=df_1\wedge...\wedge df_k\wedge\sigma$

Published on 25 Mar 2026 - 14:25

11.2k

Views

Lebesgue measure theory vs differential forms?

Published on 20 Jul 2018 - 7:18

1.4k

Views

Gradient of vector field using differential forms

Published on 25 Mar 2026 - 17:51

395

Views

Non-linear path between symplectic forms in $\mathbb{R}^4$

Published on 25 Mar 2026 - 19:01

53

Views

Double Complex with exact co-boundary operator on forms with compact support

Published on 26 Mar 2026 - 1:02

50

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$i_X(dx\wedge dy\wedge dz) $ with $X=a\frac{{\partial }}{{\partial x}}+b\frac{{\partial }}{{\partial y}}+c\frac{{\partial }}{{\partial z}}$

Published on 30 Jul 2018 - 6:14

94

Views

Regarding wells' p.156 conjugate liner 1-form

Published on 26 Mar 2026 - 13:01

120

Views

Prove: $\omega$ Is Exact

Published on 31 Jul 2018 - 12:50

782

Views

Hessian matrix vs differential 2-form

Published on 25 Mar 2026 - 1:21

73

Views

Integral of differential forms $\int (-y+\sin x^2)dx + xdy$.

Published on 25 Mar 2026 - 6:03

128

Views

Finding an Antiderivative for an Exact Form

Published on 02 Aug 2018 - 2:08

245

Views

Lie algebra-valued differential forms, exactness, closedness, and the Moyal product

Published on 19 Mar 2026 - 18:12

483

Views

Integral of 1-form $\omega=\dfrac{-y \,dx + x \,dy}{x^2 +y^2}$ over a triangle.

Published on 25 Mar 2026 - 6:07

565

Views

Compact surface with constant strictly positive curvature is a sphere

Published on 26 Mar 2026 - 10:59

62

Views

Why is $\epsilon^{p,q}(X):=\Gamma(X,\bigwedge^p\Omega^1_X\otimes\overline{\bigwedge^p\Omega^1_X})$?

Published on 25 Mar 2026 - 5:10

List Question

$df_1,...,df_k$ linearly independent $\Rightarrow \frac{\omega^n}{n!}=df_1\wedge...\wedge df_k\wedge\sigma$

Lebesgue measure theory vs differential forms?

Gradient of vector field using differential forms

Non-linear path between symplectic forms in $\mathbb{R}^4$

Double Complex with exact co-boundary operator on forms with compact support

$i_X(dx\wedge dy\wedge dz) $ with $X=a\frac{{\partial }}{{\partial x}}+b\frac{{\partial }}{{\partial y}}+c\frac{{\partial }}{{\partial z}}$

Regarding wells' p.156 conjugate liner 1-form

Prove: $\omega$ Is Exact

Hessian matrix vs differential 2-form

Integral of differential forms $\int (-y+\sin x^2)dx + xdy$.

Finding an Antiderivative for an Exact Form

Lie algebra-valued differential forms, exactness, closedness, and the Moyal product

Integral of 1-form $\omega=\dfrac{-y \,dx + x \,dy}{x^2 +y^2}$ over a triangle.

Compact surface with constant strictly positive curvature is a sphere

Why is $\epsilon^{p,q}(X):=\Gamma(X,\bigwedge^p\Omega^1_X\otimes\overline{\bigwedge^p\Omega^1_X})$?

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