Pluriclosed flow on Oeljeklaus-Toma manifolds

Jeffrey Streets; Xiaokang Wang

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arXiv · 2512.11246

Pluriclosed flow on Oeljeklaus-Toma manifolds

Jeffrey Streets·Xiaokang Wang

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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.

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Jeffrey Streets, Xiaokang Wang. 2025-12-12. Pluriclosed flow on Oeljeklaus-Toma manifolds. https://arxiv.org/abs/2512.11246

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