List questions from lie-derivative

Published on 23 Apr 2016 - 17:43

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Divergence of vector field on manifold

Published on 24 Apr 2016 - 4:34

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Does the Lie derivative commute with $\partial$?

Published on 26 Apr 2016 - 17:03

52

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How to show that $\frac{d}{dt}\int_{\phi_t(U)}\omega_t = \int_{\phi_t(U)}(\partial_t\omega_t + L_x\omega_t)$?

Published on 03 May 2016 - 21:25

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Finding all $2$-forms in the right half-plane that are invariant under glide transformations

Published on 05 May 2016 - 14:19

401

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Showing that Killing vector fields form a vector space without introducing connection

Published on 20 May 2016 - 14:25

74

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Apply flow of $V$ to a segment of a curve, Do you get covariant derivative?

Published on 24 May 2016 - 1:44

640

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Is the Lie derivative $L_{X}(\omega \wedge \mu)$ an exact form?

Published on 26 May 2016 - 8:10

117

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lie group jacobian function deduce

Published on 27 May 2016 - 5:55

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Is it true that $(\Phi_{-t})_*w\circ \Phi_t=\sum_{n=0}\frac{t^n}{n!}\mathcal L^n_vw$?

Published on 15 Jun 2016 - 11:37

390

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Coordinates of exterior derivative of dual basis of local frame for the tangent bundle

Published on 29 Jun 2016 - 17:11

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Show that $[fX,gY]= fg[X,Y]+f(Xg)Y−g(Yf)X$.

Published on 12 Apr 2013 - 10:59

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In the Lie bracket $\mathcal L_X Y\equiv[X,Y]$ of vector fields, which integral curves are used?

Published on 14 Apr 2013 - 8:39

527

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Find the Lie bracket between the vector fields $\partial_x$ and $x\partial_z+\partial_y$

Published on 04 Nov 2013 - 8:57

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Lie derivative on a riemannian manifold

Published on 07 Feb 2014 - 19:12

List Question

Lie derivative of two differnt size related tensors

Divergence of vector field on manifold

Does the Lie derivative commute with $\partial$?

How to show that $\frac{d}{dt}\int_{\phi_t(U)}\omega_t = \int_{\phi_t(U)}(\partial_t\omega_t + L_x\omega_t)$?

Finding all $2$-forms in the right half-plane that are invariant under glide transformations

Showing that Killing vector fields form a vector space without introducing connection

Apply flow of $V$ to a segment of a curve, Do you get covariant derivative?

Is the Lie derivative $L_{X}(\omega \wedge \mu)$ an exact form?

lie group jacobian function deduce

Is it true that $(\Phi_{-t})_*w\circ \Phi_t=\sum_{n=0}\frac{t^n}{n!}\mathcal L^n_vw$?

Coordinates of exterior derivative of dual basis of local frame for the tangent bundle

Show that $[fX,gY]= fg[X,Y]+f(Xg)Y−g(Yf)X$.

In the Lie bracket $\mathcal L_X Y\equiv[X,Y]$ of vector fields, which integral curves are used?

Find the Lie bracket between the vector fields $\partial_x$ and $x\partial_z+\partial_y$

Lie derivative on a riemannian manifold

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