Question

Can I always find a smooth bundle map relating two arbitrary smooth vector fields defined on the same smooth manifold?

score 149 · Answer 1 · 2026-03-26 01:07:37

149

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Can I always find a smooth bundle map relating two arbitrary smooth vector fields defined on the same smooth manifold?

Published on 26 Mar 2026 - 1:07

score 3.9k · Answer 2 · 2017-09-09 12:53:40

3.9k

Views

Is cross product of del, $\nabla \times \nabla$, zero in vectors?

Published on 09 Sep 2017 - 12:53

score 264 · Answer 3 · 2026-03-30 06:44:18

264

Views

Problem with Deriving Curl in Spherical Co-ordinates.

Published on 30 Mar 2026 - 6:44

score 250 · Answer 4 · 2026-03-26 14:30:22

250

Views

Is the covariant Hessian preserved by isometries?

Published on 26 Mar 2026 - 14:30

score 145 · Answer 5 · 2017-09-24 16:24:39

145

Views

Confusion over finding the potential of a conservative vector field

Published on 24 Sep 2017 - 16:24

score 51 · Answer 6 · 2026-03-28 16:58:12

51

Views

Using Stokes theorem to evaluate $\int_C \textbf{F} \cdot d\textbf{r}$ given $\textbf{F}(x,y,z)=2y\textbf{i}+3z\textbf{j}+x\textbf{k}$

Published on 28 Mar 2026 - 16:58

score 194 · Answer 7 · 2026-03-25 18:15:10

194

Views

Extending three vectors to commuting vector fields

Published on 25 Mar 2026 - 18:15

score 446 · Answer 8 · 2026-03-29 15:21:29

446

Views

Jacobi field J along geodesic, satisfying additional condition $[J, \frac{\partial}{\partial r}] = 0.$

Published on 29 Mar 2026 - 15:21

score 267 · Answer 9 · 2017-10-08 17:37:02

267

Views

Vector analysis: Find the flux of the vector field through the surface

Published on 08 Oct 2017 - 17:37

score 518 · Answer 10 · 2017-10-09 13:11:34

518

Views

Vector analysis: Calculate the flux of the vector field S

Published on 09 Oct 2017 - 13:11

score 100 · Answer 11 · 2026-03-29 18:32:15

100

Views

Gramian determinant and line integral of a vector field

Published on 29 Mar 2026 - 18:32

score 627 · Answer 12 · 2026-04-05 04:51:16

627

Views

Proving that a vector field along a curve is smooth iff its coefficient functions are smooth.

Published on 05 Apr 2026 - 4:51

score 6.2k · Answer 13 · 2017-10-14 01:47:23

6.2k

Views

Why is does this vector field have zero-curl everywhere? Plus, broad questions about curl.

Published on 14 Oct 2017 - 1:47

score 312 · Answer 14 · 2017-10-14 18:38:58

312

Views

Minimal bound on the lifetime of a maximal integral curve

Published on 14 Oct 2017 - 18:38

score 55 · Answer 15 · 2017-10-17 08:10:30

55

Views

Does $\nabla A \times \nabla B = 0$ imply that A is a function of B?

Published on 17 Oct 2017 - 8:10

List Question

Can I always find a smooth bundle map relating two arbitrary smooth vector fields defined on the same smooth manifold?

Is cross product of del, $\nabla \times \nabla$, zero in vectors?

Problem with Deriving Curl in Spherical Co-ordinates.

Is the covariant Hessian preserved by isometries?

Confusion over finding the potential of a conservative vector field

Using Stokes theorem to evaluate $\int_C \textbf{F} \cdot d\textbf{r}$ given $\textbf{F}(x,y,z)=2y\textbf{i}+3z\textbf{j}+x\textbf{k}$

Extending three vectors to commuting vector fields

Jacobi field J along geodesic, satisfying additional condition $[J, \frac{\partial}{\partial r}] = 0.$

Vector analysis: Find the flux of the vector field through the surface

Vector analysis: Calculate the flux of the vector field S

Gramian determinant and line integral of a vector field

Proving that a vector field along a curve is smooth iff its coefficient functions are smooth.

Why is does this vector field have zero-curl everywhere? Plus, broad questions about curl.

Minimal bound on the lifetime of a maximal integral curve

Does $\nabla A \times \nabla B = 0$ imply that A is a function of B?

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