Pluriclosed flow on Oeljeklaus-Toma manifolds

Abstract

We establish global existence of the pluriclosed flow with arbitrary initial data on Oeljeklaus-Toma manifolds, and Gromov-Hausdorff convergence of blowdown limits to a torus under natural conjectural bounds on the flow at infinity. In the case of generalized K\"ahler-Ricci flow we prove refined a priori estimates in support of these conjectural bounds.