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arXiv · 2511.04003

A generalized Frankel conjecture via the Yang-Mills flow

Jiangtao Li
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Abstract

In this note, we introduce a new curvature condition called the $2-$positive bisectional curvature on compact K\"{a}hler manifolds. We then deduce a characterization theorem for manifolds with $2-$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}).

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Jiangtao Li. 2025-11-06. A generalized Frankel conjecture via the Yang-Mills flow. https://arxiv.org/abs/2511.04003

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