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

Keywords

Pluriclosed flow / Oeljeklaus-Toma manifolds / Long-time existence / Parabolic estimate

Acknowledgment

The first author is supported by the NSF (Grant No. DMS-2342135).

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