
# The parallel transport the sphere

The parallel transport is the identity, since the only non-Euclidean change is the base point, which might get a $(\cdot)_{2\pi}$ hence

### Matlab Documentation

 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 % W = parallelTransport(x,y,xi) parallel transport a tangential % vector xi at x along a geodesic from x to y % % INPUT % x : a point( set) on P(m) % y : a point( set) on P(m) % xi : a tangential vector( set, one) at (each) X % % % OUTPUT % eta : tangential vector( set, one) at (each) Y % % --- % Manifold-valued Image Restoration Toolbox % R. Bergmann ~ 2015-01-29 | 2015-04-10