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 Kähler-Ricci flow we prove refined a priori estimates in support of these conjectural bounds.

The authors warmly dedicate this article to Professor Gang Tian on the occasion of his 65th birthday. Comments welcome!