List questions from differential-forms

98

Views

Is $\sigma_u \times \sigma_v \neq \vec{0}$ essential for $\int_{\alpha} \vec{F} \cdot d\vec{r} = \iint_\sigma \mathrm{curl}\,\vec{F} \cdot d\vec{S}$?

Published on 28 Mar 2026 - 3:27

112

Views

Area form for $M^2 \subseteq \Bbb R^4$

Published on 26 May 2016 - 18:52

205

Views

Do I understand the divergence theorem correctly?

Published on 28 Mar 2026 - 3:32

338

Views

Area form of $M^2 \subseteq \Bbb R^4$: does $(-1)^{i+j-1}\det_{i'j'}(n,\nu) = dx^i \wedge dx^j$?

Published on 27 May 2016 - 2:59

157

Views

Condition for set of de Rham cohomology classes is linearly independent

Published on 27 May 2016 - 12:17

263

Views

Radial differential form

Published on 28 May 2016 - 15:44

197

Views

Orientation form on manifold cut out by $m$ functions

Published on 28 May 2016 - 16:21

71

Views

Let $\theta$ a $1-$form. Why $d\theta(X,Y)=X\theta(y)-Y\theta(X)-\theta([X,Y])$?

Published on 29 May 2016 - 19:34

52

Views

Demonstration of a basic formula involving differential forms

Published on 30 May 2016 - 11:19

694

Views

Exterior derivative of complex differential form

Published on 29 Mar 2026 - 2:52

151

Views

What am I doing wrong when calculating this pullback?

Published on 31 May 2016 - 9:12

2.7k

Views

Restriction of an $n$-form to a submanifold

Published on 29 Mar 2026 - 2:47

672

Views

Stokes' Theorem and path integrals in $\mathbb{C}$

Published on 01 Jun 2016 - 21:06

322

Views

Integral of an interior product is 0

Published on 02 Jun 2016 - 19:51

105

Views

Inner products on $C_c^\infty$ corresponding to differential forms

Published on 26 Mar 2026 - 21:35

List Question

Is $\sigma_u \times \sigma_v \neq \vec{0}$ essential for $\int_{\alpha} \vec{F} \cdot d\vec{r} = \iint_\sigma \mathrm{curl}\,\vec{F} \cdot d\vec{S}$?

Area form for $M^2 \subseteq \Bbb R^4$

Do I understand the divergence theorem correctly?

Area form of $M^2 \subseteq \Bbb R^4$: does $(-1)^{i+j-1}\det_{i'j'}(n,\nu) = dx^i \wedge dx^j$?

Condition for set of de Rham cohomology classes is linearly independent

Radial differential form

Orientation form on manifold cut out by $m$ functions

Let $\theta$ a $1-$form. Why $d\theta(X,Y)=X\theta(y)-Y\theta(X)-\theta([X,Y])$?

Demonstration of a basic formula involving differential forms

Exterior derivative of complex differential form

What am I doing wrong when calculating this pullback?

Restriction of an $n$-form to a submanifold

Stokes' Theorem and path integrals in $\mathbb{C}$

Integral of an interior product is 0

Inner products on $C_c^\infty$ corresponding to differential forms

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