List questions from vector-fields

Published on 23 Mar 2017 - 17:21

54

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Killing parallelizable manifolds

Published on 26 Mar 2017 - 22:04

217

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The Intersection of a Line and a Circle

Published on 01 Apr 2026 - 7:58

118

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Vector Field Verification

Published on 25 Mar 2026 - 15:45

2.4k

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Why "A line integral of a scalar field is thus a line integral of a vector field where the vectors are always tangential to the line"?

Published on 30 Mar 2017 - 15:57

282

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Vector function on non-simply-connected set. Is it conservative? Probably not.

Published on 02 Apr 2017 - 19:44

5.3k

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Parallel Transport Equations

Published on 26 Mar 2026 - 2:51

529

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Determine the curves along the vector field

Published on 03 Apr 2017 - 1:21

68

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How do we see if the following are conservative fields?

Published on 01 Apr 2026 - 19:07

678

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Spherical coordinate: components of the electric field generated by a moving charge

Published on 27 Mar 2026 - 19:53

114

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Show that x is the Arc-length Parameter for C

Published on 26 Mar 2026 - 19:17

390

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Negative flux when vector arrows are pointing outwards

Published on 27 Mar 2026 - 10:17

36

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Given vector fields $X$, $Y$ and $Z$ and differential forms $a$, $b$ and $y$, find $\alpha(X)$...

Published on 06 Apr 2017 - 17:31

827

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Is every vector field the gradient of a scalar field?

Published on 25 Mar 2026 - 15:47

644

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Proving $\mathscr{L}_{X + Y} Z = \mathscr{L}_XZ + \mathscr{L}_Y Z$ (Lie derivative)

Published on 26 Mar 2026 - 12:37

List Question

Definition of flows on manifolds

Killing parallelizable manifolds

The Intersection of a Line and a Circle

Vector Field Verification

Why "A line integral of a scalar field is thus a line integral of a vector field where the vectors are always tangential to the line"?

Vector function on non-simply-connected set. Is it conservative? Probably not.

Parallel Transport Equations

Determine the curves along the vector field

How do we see if the following are conservative fields?

Spherical coordinate: components of the electric field generated by a moving charge

Show that x is the Arc-length Parameter for C

Negative flux when vector arrows are pointing outwards

Given vector fields $X$, $Y$ and $Z$ and differential forms $a$, $b$ and $y$, find $\alpha(X)$...

Is every vector field the gradient of a scalar field?

Proving $\mathscr{L}_{X + Y} Z = \mathscr{L}_XZ + \mathscr{L}_Y Z$ (Lie derivative)

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