List questions from vector-fields

138

Views

How to handle the differential of a vector field, ${\rm d}X:TM\to TTM$, in terms of (equivalence classes of) curves?

Published on 26 Mar 2026 - 11:03

26

Views

Find the function of the vector field that makes $0$ the line integral

Published on 13 Dec 2021 - 17:02

161

Views

A claim on Lie bracket

Published on 28 Mar 2026 - 3:00

25

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Proving a field is conservative if it is a square of a continuous functions

Published on 15 Dec 2021 - 19:45

23

Views

Does gradient points along the path shown in the figure?

Published on 16 Dec 2021 - 15:26

69

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find a funciton $f(x,y,z)$ such that $grad f=F$, where $F$ is the given vector field

Published on 27 Mar 2026 - 5:41

311

Views

Why does vector field <x, -y> have 0 divergence?

Published on 28 Mar 2026 - 22:37

93

Views

Distinction between Lie Algebra of differentiable manifolds and Lie Algebra of Lie Group

Published on 18 Dec 2021 - 11:11

35

Views

Surface integrals in Force Fields

Published on 28 Mar 2026 - 22:37

86

Views

What is the definition of the vector field which is generated by rotations of the circle

Published on 09 Apr 2026 - 0:51

89

Views

Where's my mistake (parametrized surface integral)?

Published on 20 Dec 2021 - 23:31

481

Views

What do the fibers of the double tangent bundle look like?

Published on 26 Mar 2026 - 11:01

67

Views

line integral of vector field on two circles

Published on 02 Apr 2026 - 12:24

98

Views

The relation between two subspaces

Published on 23 Dec 2021 - 17:55

90

Views

Confusion in Line integral

Published on 08 Apr 2026 - 16:13

List Question

How to handle the differential of a vector field, ${\rm d}X:TM\to TTM$, in terms of (equivalence classes of) curves?

Find the function of the vector field that makes $0$ the line integral

A claim on Lie bracket

Proving a field is conservative if it is a square of a continuous functions

Does gradient points along the path shown in the figure?

find a funciton $f(x,y,z)$ such that $grad f=F$, where $F$ is the given vector field

Why does vector field <x, -y> have 0 divergence?

Distinction between Lie Algebra of differentiable manifolds and Lie Algebra of Lie Group

Surface integrals in Force Fields

What is the definition of the vector field which is generated by rotations of the circle

Where's my mistake (parametrized surface integral)?

What do the fibers of the double tangent bundle look like?

line integral of vector field on two circles

The relation between two subspaces

Confusion in Line integral

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