List questions from vector-fields

Published on 31 Mar 2026 - 3:32

44

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Let $X,Y\in \mathfrak{X}(M)$ and $\Phi_{t}^{X}$ an integral curve of $X$. Show that $\frac{d}{dt}Y(m)(f\circ \Phi_{t}^{X}) =Y(m)(Xf).$

Published on 27 Mar 2026 - 1:00

119

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Vector field, flow line question. Need help please

Published on 16 Apr 2016 - 8:34

89

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Lemma characterizing second fundamental form, do not understand step

Published on 18 Apr 2016 - 4:52

97

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Construct manifold from vector fields and point in $\mathbb{R}^n$

Published on 19 Apr 2016 - 1:36

1.7k

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Outward flux of a vector field through a rectangular box.

Published on 20 Apr 2016 - 12:59

2k

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Component test for conservative fields

Published on 20 Apr 2016 - 17:06

37

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Flux of the amount of buffalo entering a square kilometer per minute

Published on 29 Mar 2026 - 16:00

778

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Flow of sum of commuting vector fields

Published on 21 Apr 2016 - 4:57

354

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Non-existence of $1$-dimensional tangent distributions on the sphere $S^2$

Published on 03 Apr 2026 - 6:16

177

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Line integral of vector field with singularity

Published on 29 Mar 2026 - 5:11

1.4k

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The volume of a Torus

Published on 27 Apr 2016 - 21:04

405

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Does there exist a non-parallelisable manifold with exactly $k$ linearly independent vector fields?

Published on 30 Apr 2016 - 22:08

177

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Question about simply connected regions in $\mathbb{R}^2$

Published on 02 May 2016 - 20:02

215

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Is this a vector field?

Published on 03 May 2016 - 20:48

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Can you comb the hair on a 4-dimensional coconut?

Let $X,Y\in \mathfrak{X}(M)$ and $\Phi_{t}^{X}$ an integral curve of $X$. Show that $\frac{d}{dt}Y(m)(f\circ \Phi_{t}^{X}) =Y(m)(Xf).$

Vector field, flow line question. Need help please

Lemma characterizing second fundamental form, do not understand step

Construct manifold from vector fields and point in $\mathbb{R}^n$

Outward flux of a vector field through a rectangular box.

Component test for conservative fields

Flux of the amount of buffalo entering a square kilometer per minute

Flow of sum of commuting vector fields

Non-existence of $1$-dimensional tangent distributions on the sphere $S^2$

Line integral of vector field with singularity

The volume of a Torus

Does there exist a non-parallelisable manifold with exactly $k$ linearly independent vector fields?

Question about simply connected regions in $\mathbb{R}^2$

Is this a vector field?

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