8 papers
Compact Vaisman and l.c.K. manifolds with nonnegative bisectional curvature
Jiangtao Li
We study the structure of compact Vaisman and l.c.K. manifolds with nonnegative bisectional curvature in this paper. Our first main result (cf. Theorem 1.3) is a uniformization the…
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…
Rational deformations of the set of multiple zeta-star values
Jiangtao Li
In this paper we study the derived sets for the rational deformations of multiple zeta-star values. By using the theory of bounded variation functions, we will give function decomp…
The topology of the set of multiple zeta-star values
Jiangtao Li
We provide a multiple integral representation for each multiple zeta-star value, and utilize these representations to establish a natural order structure on the set of such values.…