List questions from vector-fields

Published on 08 Jul 2019 - 10:53

279

Views

Definition of the curl in general coordinates

Published on 25 Mar 2026 - 22:03

144

Views

Flow of quadratic vector field.

Published on 26 Mar 2026 - 16:06

638

Views

Deriving Killing's Equation without Lie Derivative

Published on 11 Jul 2019 - 1:42

233

Views

Why consider this homology relation on vector fields?

Published on 25 Mar 2026 - 20:41

55

Views

Sum of indices of a vector field on a torus equals 0

Published on 12 Jul 2019 - 14:58

316

Views

When is line integral of a closed curve $0$?

Published on 26 Mar 2026 - 6:28

776

Views

Flux through the curved surface of the cylinder in the first octant.

Published on 20 Jul 2019 - 13:47

34

Views

Line integral of function from $\mathbb{R}^3 \to \mathbb{R}^3$ along a curve from $\mathbb{R} \to \mathbb{R}^2$ ?! Is this a mistake?

Published on 26 Mar 2026 - 6:29

219

Views

Is is incorrect to integrate multiple surfaces when using Stokes Theorem

Published on 26 Mar 2026 - 6:27

604

Views

Computing Lie bracket on $\mathbb{R}^3$

Published on 22 Jul 2019 - 8:53

566

Views

Fundamental vector field definition

Published on 25 Mar 2026 - 8:05

348

Views

Singularity of the Jacobian matrix and bifurcation in ODE

Published on 25 Mar 2026 - 23:37

3k

Views

Why are line integrals not always path independent?

Published on 26 Mar 2026 - 4:50

177

Views

Can a Riemannian metric always be induced by an immersion $F$? (I use $F$ as a local embedding)

Published on 26 Jul 2019 - 7:57

List Question

Cartesian coordinate system (x,y,z) in function of (r,θ,x)

Definition of the curl in general coordinates

Flow of quadratic vector field.

Deriving Killing's Equation without Lie Derivative

Why consider this homology relation on vector fields?

Sum of indices of a vector field on a torus equals 0

When is line integral of a closed curve $0$?

Flux through the curved surface of the cylinder in the first octant.

Line integral of function from $\mathbb{R}^3 \to \mathbb{R}^3$ along a curve from $\mathbb{R} \to \mathbb{R}^2$ ?! Is this a mistake?

Is is incorrect to integrate multiple surfaces when using Stokes Theorem

Computing Lie bracket on $\mathbb{R}^3$

Fundamental vector field definition

Singularity of the Jacobian matrix and bifurcation in ODE

Why are line integrals not always path independent?

Can a Riemannian metric always be induced by an immersion $F$? (I use $F$ as a local embedding)

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