List questions from lie-derivative

Published on 21 Dec 2015 - 19:01

96

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Where does the minus sign come from in this expression?

Published on 09 Mar 2026 - 5:54

132

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Lie derivative and Jacobi bracket for differential k-forms

Published on 09 Mar 2026 - 5:52

59

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How to compute $[\dot c, X]$ on a manifold?

Published on 08 Feb 2016 - 13:43

122

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Where is my mistake in this exterior derivative of a $2$-form not being a tensor?

Published on 08 Feb 2016 - 20:15

940

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Implicit formula for the Levi-Civita connection

Published on 25 Feb 2016 - 13:38

503

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Computing the Lie derivative of a matrix along a vector field

Published on 26 Feb 2016 - 5:36

307

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Lie derivative of vector fields equals Lie bracker

Published on 05 Mar 2016 - 11:12

201

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Lie group of differential operators

Published on 26 Mar 2026 - 7:58

5.6k

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Lie derivative along the commutator of two vector fields

Published on 14 Mar 2016 - 15:22

2.7k

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Lie derivative of a two-form

Published on 16 Mar 2016 - 0:33

1.6k

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Lie derivative of a vectorfield in components

Published on 01 Apr 2016 - 14:23

1.6k

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Derive the components of the Lie derivative of a covector field

Published on 03 Apr 2016 - 11:28

43

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Let $X,Y\in \mathfrak{X}(M)$ and $\Phi_{t}^{X}$ an integral curve of $X$. Show that $\frac{d}{dt}Y(m)(f\circ \Phi_{t}^{X}) =Y(m)(Xf).$

Published on 14 Apr 2016 - 19:04

252

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Prove that $p-$form $\omega$ on $M\times N$ is $\delta \pi(\alpha)$ iff $i(X)\omega=0$ and $L_X\omega=0$

Published on 19 Apr 2016 - 5:48

List Question

Derivations of $k[x]/(x^2)$

Where does the minus sign come from in this expression?

Lie derivative and Jacobi bracket for differential k-forms

How to compute $[\dot c, X]$ on a manifold?

Where is my mistake in this exterior derivative of a $2$-form not being a tensor?

Implicit formula for the Levi-Civita connection

Computing the Lie derivative of a matrix along a vector field

Lie derivative of vector fields equals Lie bracker

Lie group of differential operators

Lie derivative along the commutator of two vector fields

Lie derivative of a two-form

Lie derivative of a vectorfield in components

Derive the components of the Lie derivative of a covector field

Let $X,Y\in \mathfrak{X}(M)$ and $\Phi_{t}^{X}$ an integral curve of $X$. Show that $\frac{d}{dt}Y(m)(f\circ \Phi_{t}^{X}) =Y(m)(Xf).$

Prove that $p-$form $\omega$ on $M\times N$ is $\delta \pi(\alpha)$ iff $i(X)\omega=0$ and $L_X\omega=0$

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