lie_derivative
Differences
This shows you the differences between two versions of the page.
| Both sides previous revisionPrevious revision | |||
| lie_derivative [2023/06/19 12:52] – [In terms of a covariant derivative] spencer | lie_derivative [2023/06/19 12:52] (current) – [In terms of a covariant derivative] spencer | ||
|---|---|---|---|
| Line 45: | Line 45: | ||
| $$\nabla_{e_i} \omega^j = -\gamma^j_{ik} \omega^k.$$ | $$\nabla_{e_i} \omega^j = -\gamma^j_{ik} \omega^k.$$ | ||
| So | So | ||
| - | $$L_{\partial r} (\omega^i) = -\gamma^i_{nk} \omega^k + \lambda^i \omega^i.$$ | + | $$L_{\partial_r} (\omega^i) = -\gamma^i_{nk} \omega^k + \lambda^i \omega^i.$$ |
lie_derivative.1687193551.txt.gz · Last modified: by spencer