Third Year Candidacy Requirement: "Rolling Flows"
Abstract: We investigate rolling motion of balls on manifolds with the no-slip constraint that the point of the ball in contact with the manifold has zero velocity. From here we can define a flow related to the rolling motion. A point of interest is whether the canonical volume form is invariant under this flow.
Hosts: Renato Feres, Xiang Tang, and Ari Stern