Thread: "Proper distance" in GR View Single Post

Recognitions:
Using the abstract approach, you can parallel transport an arbitrary tensor along a curve. If you have some tensor $T^{qwer}{}_{uiop}$ you parallel transport it along a curve with tangent t^a by insisting that along the curve
$t^a \, \nabla_a T^{qwer}{}_{uiop} = 0$