A generalized Frankel conjecture via the Yang-Mills flow
Differential Geometry
2025-11-07 v1
Abstract
In this note, we introduce a new curvature condition called the positive bisectional curvature on compact K\"{a}hler manifolds. We then deduce a characterization theorem for manifolds with positive bisectional curvature, which can be regarded as a variant of the classical Frankel conjecture (cf.\cite{Fra61,SY80}) and its generalizations (cf.\cite{Siu80,Mok88}).
Keywords
Cite
@article{arxiv.2511.04003,
title = {A generalized Frankel conjecture via the Yang-Mills flow},
author = {Jiangtao Li},
journal= {arXiv preprint arXiv:2511.04003},
year = {2025}
}
Comments
12 pages, comments are welcomed