Find the result of the parallel transport of a vector

Last updated: 7/29/2022

Find the result of the parallel transport of a vector throughout: a) the equator of the sphere. b) the horizontal circles of the cylinder x^2+ y^2 = 1, z = z0. c) the vertical lines of the cylinder x^2 + y^2 = 1, x0 = xO, y = y0. d) the horizontal circles of the cone x^2 + y^2 = z^2, z = z0. e) the horizontal circles of the sphere x^2 + y^2 + z^2 = 1, z = z0 NOT DEFINITION. PARALLEL TRANSPORT OF VECTOR