List questions from lie-derivative

Published on 13 Dec 2014 - 19:56

393

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$L_X( \omega (Y_1,\ldots, Y_n)) = (L_X \omega) (Y_1, \ldots, Y_n) + \sum_{i = 1}^n \omega (Y_1, \ldots, Y_{i-1}, L_X Y_i, \ldots, Y_n)$

Published on 02 Jan 2015 - 0:11

121

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How to prove that $\frac{d}{dt}|_{t=t_0}(\theta_t^A)_p=(\theta_{t_0}^(\mathscr{L}_VA))_p$, 12.36 in Lee's Introduction to Smooth Manifolds

Published on 15 Oct 2019 - 14:02

37

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A "vector" in the interior differentiation

Published on 15 Nov 2019 - 19:00

302

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Leibniz-rule for Lie-derivative: special case for 1-forms

Published on 16 Nov 2019 - 13:27

215

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Lie Derivative in coordinates

Published on 18 Nov 2019 - 16:15

64

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Dimensions of forms and vectors in Lie and interior derivatives

Published on 19 Nov 2019 - 23:55

20

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Vector fields such that their Lie derivatives differ

Published on 03 Dec 2019 - 23:19

367

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The radial vector field $x_i \partial/\partial x_i$

Published on 09 Dec 2019 - 21:12

311

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Is there a coordinate-free proof of this Lie derivative identity?

Published on 14 Dec 2019 - 17:49

285

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Evaluating the Lie derivative of a tensor

Published on 29 Dec 2019 - 16:18

421

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vertical component of Lie bracket

Published on 30 Dec 2019 - 21:18

257

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interchanging limit and exterior derivative to prove $L_X(df) = d(L_Xf)$

Published on 23 Feb 2026 - 6:24

50

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Definition of Lie derivative by Hitchlin

Published on 19 Jan 2020 - 3:16

951

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Lie derivative of vector fields and flows of vector fields: Is this formula right?

Published on 20 Jan 2020 - 20:26

List Question

Proving $[L_X,i_Y]=[i_X,L_Y]=i_{[X,Y]}$

$L_X( \omega (Y_1,\ldots, Y_n)) = (L_X \omega) (Y_1, \ldots, Y_n) + \sum_{i = 1}^n \omega (Y_1, \ldots, Y_{i-1}, L_X Y_i, \ldots, Y_n)$

How to prove that $\frac{d}{dt}|_{t=t_0}(\theta_t^A)_p=(\theta_{t_0}^(\mathscr{L}_VA))_p$, 12.36 in Lee's Introduction to Smooth Manifolds

A "vector" in the interior differentiation

Leibniz-rule for Lie-derivative: special case for 1-forms

Lie Derivative in coordinates

Dimensions of forms and vectors in Lie and interior derivatives

Vector fields such that their Lie derivatives differ

The radial vector field $x_i \partial/\partial x_i$

Is there a coordinate-free proof of this Lie derivative identity?

Evaluating the Lie derivative of a tensor

vertical component of Lie bracket

interchanging limit and exterior derivative to prove $L_X(df) = d(L_Xf)$

Definition of Lie derivative by Hitchlin

Lie derivative of vector fields and flows of vector fields: Is this formula right?

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