List questions from vector-fields

Published on 13 Apr 2022 - 0:12

97

Views

Proof of the push-pull formula $V(F^*f)=DF(V)(f)$

Published on 24 Feb 2026 - 7:40

73

Views

How to calculate the integral of $\vec{a}\cdot\nabla(\nabla\cdot\vec{a})$?

Published on 03 Apr 2026 - 12:56

217

Views

Vector field tangent to a meridian

Published on 16 Apr 2022 - 4:49

58

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Second derivative of vector flows: if $g(t)=\varphi_{v_1}^t\circ \varphi_{v_2}^t-\varphi_{v_2}^t\circ \varphi_{v_1}^t$ then $g''(0)=-2[v_1,v_2](p)$

Published on 28 Mar 2026 - 4:51

304

Views

Find the additive inverse of vector space

Published on 17 Apr 2022 - 22:50

197

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Understanding a theorem on the canonical form of a vector field

Published on 18 Apr 2022 - 3:48

93

Views

Dimension of vector space of left invariant vector fields

Published on 19 Apr 2022 - 13:31

186

Views

What is the trajectory of a point by the flow of a vector field?

Published on 19 Apr 2022 - 15:13

21

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How to perturb a 2-d conservative vector field so as to maximize its curl

Published on 11 Apr 2026 - 9:08

70

Views

Every vector field on $S^1$ is i-related to some vector field on $\mathbb{R}^2$, i is the inclusion map

Published on 20 Apr 2022 - 10:14

51

Views

Vector fields, Integral curves and Lie brackets

Published on 20 Apr 2022 - 22:31

126

Views

Question about the gradient vector field of a function on a flag manifold

Published on 25 Apr 2022 - 18:49

136

Views

Difference and intuition of derivative along a vector field and a vector field applied to a function

Published on 28 Mar 2026 - 8:10

58

Views

Image of the gradient field of a smooth function is a convex set

Published on 26 Apr 2022 - 4:09

List Question

Find the associated vector field

Proof of the push-pull formula $V(F^*f)=DF(V)(f)$

How to calculate the integral of $\vec{a}\cdot\nabla(\nabla\cdot\vec{a})$?

Vector field tangent to a meridian

Second derivative of vector flows: if $g(t)=\varphi_{v_1}^t\circ \varphi_{v_2}^t-\varphi_{v_2}^t\circ \varphi_{v_1}^t$ then $g''(0)=-2[v_1,v_2](p)$

Find the additive inverse of vector space

Understanding a theorem on the canonical form of a vector field

Dimension of vector space of left invariant vector fields

What is the trajectory of a point by the flow of a vector field?

How to perturb a 2-d conservative vector field so as to maximize its curl

Every vector field on $S^1$ is i-related to some vector field on $\mathbb{R}^2$, i is the inclusion map

Vector fields, Integral curves and Lie brackets

Question about the gradient vector field of a function on a flag manifold

Difference and intuition of derivative along a vector field and a vector field applied to a function

Image of the gradient field of a smooth function is a convex set

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