Question

Why commutator transforms like a vector

score 51 · Answer 1 · 2026-04-02 18:25:21

51

Views

Why commutator transforms like a vector

Published on 02 Apr 2026 - 18:25

score 53 · Answer 2 · 2026-02-23 13:27:57

53

Views

Direct proof of Cartesian coordinates form of divergence

Published on 23 Feb 2026 - 13:27

score 71 · Answer 3 · 2024-01-07 20:20:41

71

Views

I have some doubts about Stokes Theorem

Published on 07 Jan 2024 - 20:20

score 51 · Answer 4 · 2024-01-08 05:29:43

51

Views

Showing the vector field $(f(x+y),f(x+y))$ is conservative for continuous $f:\mathbb{R}\to\mathbb{R}$

Published on 08 Jan 2024 - 5:29

score 89 · Answer 5 · 2024-01-14 03:20:16

89

Views

Vector Field Degrees

Published on 14 Jan 2024 - 3:20

score 59 · Answer 6 · 2024-01-14 09:17:53

59

Views

How do I sketch a vector function such as $ \mathbf{v} = \frac{\mathbf{\hat{r}}}{r^2} $?

Published on 14 Jan 2024 - 9:17

score 55 · Answer 7 · 2024-01-15 10:34:08

55

Views

Vector Fields as a section of the Tangent bundle

Published on 15 Jan 2024 - 10:34

score 107 · Answer 8 · 2024-01-17 14:43:27

107

Views

What is the meaning of a second order differential operator in differential geometry?

Published on 17 Jan 2024 - 14:43

score 89 · Answer 9 · 2026-03-26 17:52:30

89

Views

Why do we need a tangent space? Why do we need a vector field? ("Calculus on Manifolds" by MIchael Spivak)

Published on 26 Mar 2026 - 17:52

score 66 · Answer 10 · 2026-03-27 18:48:51

66

Views

Differential surface element and nabla operator

Published on 27 Mar 2026 - 18:48

score 34 · Answer 11 · 2026-03-26 17:53:50

34

Views

I think $\nabla=\sum_{i=1}^n D_i\cdot (e_i)_p$ is correct. ("Calculus on Manifolds" by Michael Spivak)

Published on 26 Mar 2026 - 17:53

score 35 · Answer 12 · 2026-03-27 04:35:17

35

Views

Is the range of a vector field $\bigcup_{p\in\mathbb{R}^n}\mathbb{R}_p^n$? ("Calculus on Manifolds" by Michael Spivak.)

Published on 27 Mar 2026 - 4:35

score 18 · Answer 13 · 2026-03-28 02:44:57

18

Views

How does the angle between tangent vectors of a curve at different points and a given fixed uniform vector field change on rotation of curve?

Published on 28 Mar 2026 - 2:44

score 46 · Answer 14 · 2024-01-19 13:16:09

46

Views

Does the flow of a vector field contain all and only its integral curves

Published on 19 Jan 2024 - 13:16

score 43 · Answer 15 · 2024-01-20 06:27:30

43

Views

Lie bracket of vector fields: loop of flows vs. gap between end points

Published on 20 Jan 2024 - 6:27

List Question

Why commutator transforms like a vector

Direct proof of Cartesian coordinates form of divergence

I have some doubts about Stokes Theorem

Showing the vector field $(f(x+y),f(x+y))$ is conservative for continuous $f:\mathbb{R}\to\mathbb{R}$

Vector Field Degrees

How do I sketch a vector function such as $ \mathbf{v} = \frac{\mathbf{\hat{r}}}{r^2} $?

Vector Fields as a section of the Tangent bundle

What is the meaning of a second order differential operator in differential geometry?

Why do we need a tangent space? Why do we need a vector field? ("Calculus on Manifolds" by MIchael Spivak)

Differential surface element and nabla operator

I think $\nabla=\sum_{i=1}^n D_i\cdot (e_i)_p$ is correct. ("Calculus on Manifolds" by Michael Spivak)

Is the range of a vector field $\bigcup_{p\in\mathbb{R}^n}\mathbb{R}_p^n$? ("Calculus on Manifolds" by Michael Spivak.)

How does the angle between tangent vectors of a curve at different points and a given fixed uniform vector field change on rotation of curve?

Does the flow of a vector field contain all and only its integral curves

Lie bracket of vector fields: loop of flows vs. gap between end points

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