List questions from lie-derivative

Published on 15 Mar 2023 - 18:02

236

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Lie derivative of a differential form

Published on 23 Feb 2026 - 8:24

85

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Solution of matrix exponential integral $\int_0^{2 \pi} d t \exp(A \cos(t) + B \sin(t))$ with non-zero commutator

Published on 28 Mar 2023 - 10:49

83

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Proof that $L_X\omega=\iota_X(\mathrm{d}\omega+\omega\wedge\omega)$ if $\iota_X\omega=0$

Published on 05 Apr 2023 - 19:04

66

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Derivative of squared geodesic distance w.r.t. a tangent vector on so(3)

Published on 14 Apr 2023 - 13:17

29

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What is the derivative of general 3D rotation with respect to one angular component?

Published on 21 Apr 2023 - 15:44

37

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Lie derivative of a coordinate form into its coordinate direction

Published on 22 Apr 2023 - 21:10

193

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What is interior derivative geometrically?

Published on 04 May 2023 - 18:36

42

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Solution of sum of two time-dependent vectors fields?

Published on 09 May 2023 - 12:40

63

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Showing $L_v(df)=d(Vf)$, where $L$ is Lie derivative

Published on 09 May 2023 - 21:00

48

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Isometries of S2 in spherical coordinates

Published on 10 May 2023 - 12:21

67

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Interesting PDE involving the Lie bracket - what is the solution?

Published on 31 May 2023 - 9:05

136

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Pushforward and pullback on matrix Lie group

Published on 03 Jun 2023 - 3:09

111

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On compact Kahler manifold, Lie derivative of Killing vector field commutes with $dd^c$

Published on 26 Mar 2026 - 4:53

31

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Difference quotient of global flow and the lie derivative

Published on 28 Jun 2023 - 10:16

List Question

Link between covariant divergence and Lie derivative

Lie derivative of a differential form

Solution of matrix exponential integral $\int_0^{2 \pi} d t \exp(A \cos(t) + B \sin(t))$ with non-zero commutator

Proof that $L_X\omega=\iota_X(\mathrm{d}\omega+\omega\wedge\omega)$ if $\iota_X\omega=0$

Derivative of squared geodesic distance w.r.t. a tangent vector on so(3)

What is the derivative of general 3D rotation with respect to one angular component?

Lie derivative of a coordinate form into its coordinate direction

What is interior derivative geometrically?

Solution of sum of two time-dependent vectors fields?

Showing $L_v(df)=d(Vf)$, where $L$ is Lie derivative

Isometries of S2 in spherical coordinates

Interesting PDE involving the Lie bracket - what is the solution?

Pushforward and pullback on matrix Lie group

On compact Kahler manifold, Lie derivative of Killing vector field commutes with $dd^c$

Difference quotient of global flow and the lie derivative

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