I Parallel transport

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geordief
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In this video I can see a person walking around lines of curvature on a sphere with an arrow strapped to his waist.



His task is to keep the arrow pointed in the same direction

How does he do this ? Does he use a reference point like the stars? (that only move very slowly)

If that is how he keeps the arrow pointing in the same direction, is that equivalent to saying that he orients the arrow wrt the 3d space that the sphere is embedded in?

So ,although one refers to intrinsic curvature the embedding dimension is not discounted(at least in the way it is measured)
 

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Thread 'Dirac's integral for the energy-momentum of the gravitational field'

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