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cianfa72

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- Lie dragging vs Fermi-Walker transport along a given vector field that is a KVF. Are the two the same?

We had a thread long time ago concerning the Lie dragging of a vector field ##X## along a given vector field ##V## compared to the Fermi-Walker transport of ##X## along a curve ##C## through a point ##P## that is the integral curve of the vector field ##V## passing through that point.

We said that the latter is basically the same as the Lie dragging along ##V## of ##X## when ##V## is a Killing vector field.

Can you explain the above claim in more detail? Thank you.

Edit: the affine connection used from Fermi-Walker transport is of course the Levi-Civita connection associated to the metric tensor.

We said that the latter is basically the same as the Lie dragging along ##V## of ##X## when ##V## is a Killing vector field.

Can you explain the above claim in more detail? Thank you.

Edit: the affine connection used from Fermi-Walker transport is of course the Levi-Civita connection associated to the metric tensor.

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