A counterexample to convergence for the CR Yamabe flow

The study of conformal deformation of scalar curvature and of the Yamabe problem lead to the introduction of the Yamabe flow, which was proved to converge to a metric of constant scalar curvature by Brendle. In CR geometry the analogous flow was proved to converge only in particular cases, due to the lack of a general positive mass theorem. In this seminar, after introducing and motivating the matter, we will show through a counterexample that convergence does not always hold.