Hi everyone I need your help:
On the $n$-sphere we consider two different points with $p \neq -q$ and orthogonal between them. We take the curve $\gamma(t)=\cos(t^2)p+\sin(t^2)q $.
The exercise asks to compute the generic parallel transport from $t=0$ to $t=2\pi$.
I think this is a tricky exercise in the sense that it should be a happy idea behind the problem. I hope you can help me.
Thank you for your time.