In this project we want to visualize a Brownian movement on a 3- sphere with sub-Riemannian structure (which is in fact SU(2)). The Brownian motion is only allowed to move along certain directions. This project consists two steps. First we want to study and visualize the Hopf fibration on SU(2) (see https://www.youtube.com/watch?v=AKotMPGFJYk). Then in the second step we generate a Brownian motion on it.
Completion of Calculus 3. Basic knowledge of Complex Analysis.