Question

The principal directions bissect the asymptotic directions

score 1.3k · Answer 1 · 2026-03-27 08:41:57

1.3k

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The principal directions bissect the asymptotic directions

Published on 27 Mar 2026 - 8:41

score 52 · Answer 2 · 2026-03-05 07:29:08

52

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Generated subspaces with a minimal number of generators

Published on 05 Mar 2026 - 7:29

score 38 · Answer 3 · 2026-03-28 12:19:29

38

Views

Existence of dense velocity curve on connected manifold

Published on 28 Mar 2026 - 12:19

score 130 · Answer 4 · 2019-10-30 20:53:24

130

Views

Show that there may not exist a vector field $Y$ on $N$ such that $f_\ast(X_p) = Y_{f(p)}$.

Published on 30 Oct 2019 - 20:53

score 925 · Answer 5 · 2019-10-29 08:38:13

925

Views

Writing del, divergence, and curl in generalized coordinates

Published on 29 Oct 2019 - 8:38

score 50 · Answer 6 · 2019-10-30 12:11:22

50

Views

How to further expand $\text{grad} \left( \vec{a} \cdot\vec{b} \right ) = \vec{\nabla} \left (\vec{a} \cdot\vec{b} \right )$?

Published on 30 Oct 2019 - 12:11

score 51 · Answer 7 · 2019-10-31 15:50:31

51

Views

Why is a field conservative if its irrotational, and why is this equivalent to saying it is described by some potential function?

Published on 31 Oct 2019 - 15:50

score 642 · Answer 8 · 2019-10-31 15:55:17

The covariant derivative satisfies $\frac{d}{dt}\left<v(t),w(t)\right>=\left<\frac{Dv}{dt}(t),w(t)\right>+\left<v(t),\frac{Dw}{dt}(t)\right>$

score 181 · Answer 9 · 2026-03-27 17:29:10

181

Views

How to change basis for normal vector fields on regular surfaces?

Published on 27 Mar 2026 - 17:29

score 247 · Answer 10 · 2019-11-01 19:05:43

247

Views

What does a vector field $f(r,θ) = (1,1)$ look like in polar coordinates?

Published on 01 Nov 2019 - 19:05

score 106 · Answer 11 · 2019-11-03 23:43:26

106

Views

Generalized Hairy ball theorem

Published on 03 Nov 2019 - 23:43

score 397 · Answer 12 · 2019-11-04 11:05:56

397

Views

Prove that set is basis for Left Invariant Vector Fields space on Matrix Lie Group

Published on 04 Nov 2019 - 11:05

score 459 · Answer 13 · 2019-11-05 09:33:17

459

Views

Are vector fields injective? (For higher maths: Are sections of a bundle injective?)

Published on 05 Nov 2019 - 9:33

score 140 · Answer 14 · 2019-11-06 08:40:17

140

Views

Find flow of a given vector field

Published on 06 Nov 2019 - 8:40

score 231 · Answer 15 · 2019-11-06 20:42:55

231

Views

Vector field on $S^2$ whose integral curve is $\left(\frac{t}{\sqrt{1+t^2}},\frac{\cos(t)}{\sqrt{1+t^2}},\frac{\sin(t)}{\sqrt{1+t^2}} \right)$

Published on 06 Nov 2019 - 20:42

List Question

The principal directions bissect the asymptotic directions

Generated subspaces with a minimal number of generators

Existence of dense velocity curve on connected manifold

Show that there may not exist a vector field $Y$ on $N$ such that $f_\ast(X_p) = Y_{f(p)}$.

Writing del, divergence, and curl in generalized coordinates

How to further expand $\text{grad} \left( \vec{a} \cdot\vec{b} \right ) = \vec{\nabla} \left (\vec{a} \cdot\vec{b} \right )$?

Why is a field conservative if its irrotational, and why is this equivalent to saying it is described by some potential function?

The covariant derivative satisfies $\frac{d}{dt}\left<v(t),w(t)\right>=\left<\frac{Dv}{dt}(t),w(t)\right>+\left<v(t),\frac{Dw}{dt}(t)\right>$

How to change basis for normal vector fields on regular surfaces?

What does a vector field $f(r,θ) = (1,1)$ look like in polar coordinates?

Generalized Hairy ball theorem

Prove that set is basis for Left Invariant Vector Fields space on Matrix Lie Group

Are vector fields injective? (For higher maths: Are sections of a bundle injective?)

Find flow of a given vector field

Vector field on $S^2$ whose integral curve is $\left(\frac{t}{\sqrt{1+t^2}},\frac{\cos(t)}{\sqrt{1+t^2}},\frac{\sin(t)}{\sqrt{1+t^2}} \right)$

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