Pluriclosed flow on Oeljeklaus-Toma manifolds

Fuente: arXiv
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Autores principales: Streets, Jeffrey, Wang, Xiaokang
Formato: Preprint
Publicado: 2025
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author Streets, Jeffrey
Wang, Xiaokang
author_facet Streets, Jeffrey
Wang, Xiaokang
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2512_11246
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Pluriclosed flow on Oeljeklaus-Toma manifolds
Streets, Jeffrey
Wang, Xiaokang
Differential Geometry
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.
title Pluriclosed flow on Oeljeklaus-Toma manifolds
topic Differential Geometry
url https://arxiv.org/abs/2512.11246