Question

$ \int_M fd\omega=\int_M i_V \omega ~d\omega$ where $M$ is a closed $2$-manifold, $\omega$ is $1$-form, $V$ is vector field, with $i_V d\omega=df$

score 103 · Answer 1 · 2020-05-07 11:41:27

103

Views

$ \int_M fd\omega=\int_M i_V \omega ~d\omega$ where $M$ is a closed $2$-manifold, $\omega$ is $1$-form, $V$ is vector field, with $i_V d\omega=df$

Published on 07 May 2020 - 11:41

score 56 · Answer 2 · 2020-05-07 12:35:39

56

Views

Finding polar representation of $\dot{x} = -y+x(1-x^{2}-y^{2}), \dot{y} = x+y(1-x^{2}-y^{2}). $

Published on 07 May 2020 - 12:35

score 165 · Answer 3 · 2020-05-08 09:33:35

165

Views

Rescaling of a vector field and time reparametrization

Published on 08 May 2020 - 9:33

score 50 · Answer 4 · 2020-05-10 09:22:01

50

Views

If $\partial_i f_j(\overline x)=\partial_j f_i(\overline x)$, then $f=\nabla u$

Published on 10 May 2020 - 9:22

score 107 · Answer 5 · 2026-03-27 23:57:32

107

Views

A different perspective of sphere eversion?

Published on 27 Mar 2026 - 23:57

score 48 · Answer 6 · 2026-03-25 06:39:03

48

Views

When does a set of vector become a field?

Published on 25 Mar 2026 - 6:39

score 750 · Answer 7 · 2026-03-28 02:03:29

750

Views

Vector Field on the Real Projective Plane

Published on 28 Mar 2026 - 2:03

score 126 · Answer 8 · 2026-03-27 10:43:05

126

Views

Constructing a vector field with no zeros

Published on 27 Mar 2026 - 10:43

score 180 · Answer 9 · 2020-05-11 22:23:59

180

Views

Divergence of commutator

Published on 11 May 2020 - 22:23

score 176 · Answer 10 · 2020-05-12 05:45:44

176

Views

Construct chart from vector fields

Published on 12 May 2020 - 5:45

score 102 · Answer 11 · 2026-03-26 02:46:56

102

Views

Numerical integration over a singular vector field when the integral can be either converging or diverging and the singularity location is unknown

Published on 26 Mar 2026 - 2:46

score 1.5k · Answer 12 · 2026-02-23 04:39:36

1.5k

Views

Flux of a vector field across an ellipsoid.

Published on 23 Feb 2026 - 4:39

score 155 · Answer 13 · 2026-03-25 19:16:08

155

Views

Under surjective submersion, pushforward of a $k$-form is smooth

Published on 25 Mar 2026 - 19:16

score 64 · Answer 14 · 2026-03-26 04:32:12

64

Views

Prove that, for vector fields, $[X,Y]=0$ implies $[X,[Y,Z]]=0$ for all $Z$

Published on 26 Mar 2026 - 4:32

score 57 · Answer 15 · 2020-05-19 00:41:15

57

Views

Non-trivial $\Bbb T^k$ action and generalized Killing vector fields

Published on 19 May 2020 - 0:41

List Question

$ \int_M fd\omega=\int_M i_V \omega ~d\omega$ where $M$ is a closed $2$-manifold, $\omega$ is $1$-form, $V$ is vector field, with $i_V d\omega=df$

Finding polar representation of $\dot{x} = -y+x(1-x^{2}-y^{2}), \dot{y} = x+y(1-x^{2}-y^{2}). $

Rescaling of a vector field and time reparametrization

If $\partial_i f_j(\overline x)=\partial_j f_i(\overline x)$, then $f=\nabla u$

A different perspective of sphere eversion?

When does a set of vector become a field?

Vector Field on the Real Projective Plane

Constructing a vector field with no zeros

Divergence of commutator

Construct chart from vector fields

Numerical integration over a singular vector field when the integral can be either converging or diverging and the singularity location is unknown

Flux of a vector field across an ellipsoid.

Under surjective submersion, pushforward of a $k$-form is smooth

Prove that, for vector fields, $[X,Y]=0$ implies $[X,[Y,Z]]=0$ for all $Z$

Non-trivial $\Bbb T^k$ action and generalized Killing vector fields

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