Pluriclosed flow on Oeljeklaus-Toma manifolds

2025/12/12 by Streets, Jeffrey, Wang, Xiaokang
Mathematics · #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · doi:10.48550/arxiv.2512.11246

openalex publication_date 2025/12/12 · openalex created_date 2025/12/16 · openalex updated_date 2026/07/28

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.

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Related

• On the pluriclosed flow on Oeljeklaus-Toma manifolds
• Pluriclosed flow on manifolds with globally generated bundles
• Pluriclosed flow, Born-Infeld geometry, and rigidity results for generalized Kähler manifolds
• Geometric regularity of blow-up limits of the Kähler-Ricci flow
• Chern-Ricci flow and t-Gauduchon Ricci-flat condition