Thread: Angle between parallel transport

Let N be the north pole of a unit sphere. Let Q and P be two points on a parallel in such a way that the meridians NQ and NP make angle at N. Consider a unit vector v tangent to the meridian NQ at N and take the parallel transport of v along the closed curve made up by the meridian NQ, the parallel QP and the meridian PN. Determine the angle from v to the final position of this parallel transport of v.

See Parallel transport and Gauss Bonnet Theorem