List questions from lie-derivative

Published on 23 Feb 2026 - 22:24

2.4k

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Lie derivative of volume form

Published on 14 Dec 2017 - 13:50

429

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Lie derivative and preserving flows

Published on 15 Dec 2017 - 16:06

67

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Simple property of Darboux polynomial

Published on 17 Dec 2017 - 21:01

859

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Scalar densities and Lie/exterior derivatives

Published on 21 Dec 2017 - 11:25

679

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How to prove $\int_M-\text{Ric}(V,V)+ |\nabla V|^2 =\int_M \frac{1}{2}|L_Vg|^2-\big(\text{div}V\big)^2$?

Published on 08 Jan 2018 - 11:00

300

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Proving the Lie derivative of a vector field with respect to another is a smooth vector field

Published on 11 Jan 2018 - 23:17

4.6k

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Intuitive explanation of covariant, contravariant and Lie derivatives

Published on 28 Jul 2010 - 22:21

5.3k

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Geometric intuition behind the Lie bracket of vector fields

Published on 17 Apr 2012 - 10:38

5.4k

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How to prove this formula for Lie derivative for differential forms

Published on 12 Nov 2012 - 22:26

1.5k

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Prove that the Lie derivative of a vector field $Y$ in the direction of $X$ is the commutator $[X,Y]$

Published on 14 Feb 2013 - 3:18

75

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Lie derivative as smooth vector field.

Published on 31 Aug 2020 - 6:48

377

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Tu's Manifolds Problem 20.10

Published on 06 Sep 2020 - 7:04

97

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Covariant derivative along higher order tensor

Published on 09 Sep 2020 - 15:24

466

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Relation between Lie bracket and curvature

Published on 10 Sep 2020 - 19:58

List Question

Show that $\Phi_t^*\omega=\omega \quad \forall t\iff (\mathrm{div}_{\omega}\mathbb{X})\omega=0$

Lie derivative of volume form

Lie derivative and preserving flows

Simple property of Darboux polynomial

Scalar densities and Lie/exterior derivatives

How to prove $\int_M-\text{Ric}(V,V)+ |\nabla V|^2 =\int_M \frac{1}{2}|L_Vg|^2-\big(\text{div}V\big)^2$?

Proving the Lie derivative of a vector field with respect to another is a smooth vector field

Intuitive explanation of covariant, contravariant and Lie derivatives

Geometric intuition behind the Lie bracket of vector fields

How to prove this formula for Lie derivative for differential forms

Prove that the Lie derivative of a vector field $Y$ in the direction of $X$ is the commutator $[X,Y]$

Lie derivative as smooth vector field.

Tu's Manifolds Problem 20.10

Covariant derivative along higher order tensor

Relation between Lie bracket and curvature

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