Why study geometric phase Classical counterpart of berry Phase it is connected to the intrinsic curvature of the sphere Parallel transport 4 http://www.mi.infmit/manini/berryphase.html3 Why study geometric phase Classical counterpart of Berry Phase; it is connected to the intrinsic curvature of the sphere. Parallel transport http://www.mi.infm.it/manini/berryphase.html