# Changing along a tensor field, the Lie Derivative

I can find considerable information about how to use the Lie Derivative to measure the change of a tensor field along a vector field, but I can't seem to find anything for the converse. What if I want to do what the Lie Derivative does, except I don't want to act on a tensor field, I want a Lie Derivative that acts with it, on say, a vector field. Does such an operation exist?

Thanks,

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