Question

Relating the traditional definition of a vector field in terms of function with the differential geometry definition involving fibers and bundles

score 99 · Answer 1 · 2026-04-07 09:46:02

99

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Relating the traditional definition of a vector field in terms of function with the differential geometry definition involving fibers and bundles

Published on 07 Apr 2026 - 9:46

score 115 · Answer 2 · 2026-03-26 12:07:00

115

Views

Can a small change to the magnetic field result in infinite changes to the vector potential?

Published on 26 Mar 2026 - 12:07

score 92 · Answer 3 · 2021-05-05 20:45:37

92

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Calculate the differential of $\mathbb{R}^3$ function

Published on 05 May 2021 - 20:45

score 426 · Answer 4 · 2021-05-06 04:25:47

426

Views

there exists no non vanishing vector field on $S^2$

Published on 06 May 2021 - 4:25

score 148 · Answer 5 · 2021-05-06 08:43:39

148

Views

Equilibrium positions of a pendulum

Published on 06 May 2021 - 8:43

score 295 · Answer 6 · 2021-05-07 06:26:20

295

Views

A conservative vector field on the unit sphere

Published on 07 May 2021 - 6:26

score 335 · Answer 7 · 2026-03-30 10:20:00

335

Views

When can the trajectories of a vector field be realized as geodesics?

Published on 30 Mar 2026 - 10:20

score 480 · Answer 8 · 2021-05-08 07:59:04

480

Views

Surface gradient of a vector field

Published on 08 May 2021 - 7:59

score 78 · Answer 9 · 2021-05-09 16:50:06

78

Views

Conservative Vector Field with Non-Zero Curl

Published on 09 May 2021 - 16:50

score 46 · Answer 10 · 2021-05-11 01:49:08

46

Views

Is that a function which is generated by non-integrable vector fields?

Published on 11 May 2021 - 1:49

score 311 · Answer 11 · 2026-04-08 02:44:19

311

Views

G-invariant vector field

Published on 08 Apr 2026 - 2:44

score 80 · Answer 12 · 2021-05-12 16:45:01

80

Views

Vector field induced by $X$ via charts on $M$

Published on 12 May 2021 - 16:45

score 62 · Answer 13 · 2021-05-13 18:32:28

62

Views

Vector Space Understanding

Published on 13 May 2021 - 18:32

score 240 · Answer 14 · 2021-05-13 18:48:23

240

Views

What is the geometrical intuition of defining the Lie bracket on $\mathfrak g$ via the adjoint representation?

Published on 13 May 2021 - 18:48

score 927 · Answer 15 · 2021-05-13 19:34:17

927

Views

Divergence theorem and singularities

Published on 13 May 2021 - 19:34

List Question

Relating the traditional definition of a vector field in terms of function with the differential geometry definition involving fibers and bundles

Can a small change to the magnetic field result in infinite changes to the vector potential?

Calculate the differential of $\mathbb{R}^3$ function

there exists no non vanishing vector field on $S^2$

Equilibrium positions of a pendulum

A conservative vector field on the unit sphere

When can the trajectories of a vector field be realized as geodesics?

Surface gradient of a vector field

Conservative Vector Field with Non-Zero Curl

Is that a function which is generated by non-integrable vector fields?

G-invariant vector field

Vector field induced by $X$ via charts on $M$

Vector Space Understanding

What is the geometrical intuition of defining the Lie bracket on $\mathfrak g$ via the adjoint representation?

Divergence theorem and singularities

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