Oeljeklaus-Toma 流形上的多闭流
微分几何
2025-12-15 v1
摘要
我们在Oeljeklaus-Toma流形上建立了具有任意初始数据的多闭流的全局存在性，并在流在无穷远处满足自然猜想性界的前提下，证明了爆破极限的Gromov-Hausdorff收敛到环面。在广义Kähler-Ricci流的情况下，我们证明了支持这些猜想性界的精细化先验估计。
引用
@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}
}
备注
The authors warmly dedicate this article to Professor Gang Tian on the occasion of his 65th birthday. Comments welcome!