5 papers
A generalized Frankel conjecture via the Yang-Mills flow
Jiangtao Li
In this note, we introduce a new curvature condition called the positive bisectional curvature on compact Kähler manifolds. We then deduce a characterization theorem for manifo…
Finite generation of the ring of holomorphic functions with polynomial growth on the Kähler-Ricci shrinker
Jiangtao Li
Let (X, g, J, f ) be a non-compact gradient shrinking Kahler-Ricci soliton. We prove that if the scalar curvature of X satisfies a mild assumption, then OP (X), the ring of holomor…
On the tangent flow to the collapsing Kähler-Ricci flow on Hirzebruch surfaces
Jiangtao Li
In this paper, we study the collpasing Kähler-Ricci flow on Hirzebruch surfaces, which develops finite time singularities. We show that any tangent flow based at a point in the sin…
Diophantine approximation of multiple zeta-star values
Jiangtao Li
The set of multiple zeta-star values is a countable dense subset of the half line . In this paper, we establish some classical Diophantine type results for the set of…
A total curvature estimate of closed hypersurfaces in non-positively curved symmetric spaces
Jiangtao Li, Zuo Lin, Liang Xu
In this paper, we prove a total curvature estimate of closed hypersurfaces in simply-connected non-positively curved symmetric spaces, and as a corollary, we obtain an isoperimetri…