Pluriclosed flow on Oeljeklaus-Toma manifolds
Differential Geometry
2025-12-15 v1
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.
Keywords
Cite
@article{arxiv.2512.11246,
title = {Pluriclosed flow on Oeljeklaus-Toma manifolds},
author = {Jeffrey Streets and Xiaokang Wang},
journal= {arXiv preprint arXiv:2512.11246},
year = {2025}
}
Comments
The authors warmly dedicate this article to Professor Gang Tian on the occasion of his 65th birthday. Comments welcome!