List questions from vector-fields

Published on 26 Mar 2026 - 14:32

778

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curl of a 2D field

Published on 12 Mar 2019 - 8:47

49

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$M$ compact, $0$ is a regular value of $f:M\to\mathbb R,$ show that $f^{-1}(0)$ is diffeomorphic to $f^{-1}(\varepsilon)$ for small $\varepsilon.$

Published on 26 Mar 2026 - 20:16

18

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How to proceed with streamlines

Published on 23 Mar 2026 - 1:05

78

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Visual representation for a function $f:\left(\mathbb{C}^2\right)^2\to\left(\mathbb{C}^2\right)^2$

Published on 25 Mar 2026 - 9:24

307

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Is vector field a field (in the algebraic sense) also?

Published on 14 Mar 2019 - 8:31

864

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How to show this vector field is irrotational?

Published on 25 Mar 2026 - 22:10

182

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Pushforward of smooth section is smooth?

Published on 25 Mar 2026 - 16:08

686

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Vector Field Exponential Map

Published on 14 Mar 2019 - 17:20

691

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How to prove $\mathbf{M}/r$ is a continuously differentiable vector field?

Published on 26 Mar 2026 - 7:33

39

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Under what conditions are partial derivatives continuous?

Published on 25 Mar 2026 - 1:25

87

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Test if vector field in 2D is conservative

Published on 16 Mar 2019 - 15:13

746

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The gravitational potential experienced by a point on the $z$-axis due to a hemisphere

Published on 16 Mar 2019 - 23:49

452

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Euler vector field is a $C^{\infty}$ vector field.

Published on 17 Mar 2019 - 18:18

618

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Do Carmo 3.4. exercise 8: Vector Field on a Surface

Published on 18 Mar 2019 - 11:08

List Question

Exact Differential Equation Geometry

curl of a 2D field

$M$ compact, $0$ is a regular value of $f:M\to\mathbb R,$ show that $f^{-1}(0)$ is diffeomorphic to $f^{-1}(\varepsilon)$ for small $\varepsilon.$

How to proceed with streamlines

Visual representation for a function $f:\left(\mathbb{C}^2\right)^2\to\left(\mathbb{C}^2\right)^2$

Is vector field a field (in the algebraic sense) also?

How to show this vector field is irrotational?

Pushforward of smooth section is smooth?

Vector Field Exponential Map

How to prove $\mathbf{M}/r$ is a continuously differentiable vector field?

Under what conditions are partial derivatives continuous?

Test if vector field in 2D is conservative

The gravitational potential experienced by a point on the $z$-axis due to a hemisphere

Euler vector field is a $C^{\infty}$ vector field.

Do Carmo 3.4. exercise 8: Vector Field on a Surface

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