20 citations · 107 across the 28 of their papers we have counts for
28 papers
Vanishing theorems and rational connectedness on holomorphic tensor fields
Ping Li
A vanishing theorem for uniformly RC -positive Hermitian holomorphic vector bundles is established. It turns out that the holomorphic tangent bundle of a compact complex manifol…
Characteristic numbers, Jiang subgroup and non-positive curvature
Ping Li
By refining an idea of Farrell, we present a sufficient condition in terms of the Jiang subgroup for the vanishing of signature and Hirzebruch's -genus on compact smooth and K…
Vanishing theorems on compact Chern-Kähler-like Hermitian manifolds
Ping Li
We show that, under the definiteness of holomorphic sectional curvature, the spaces of some holomorphic tensor fields on compact Chern-Kähler-like Hermitian manifolds are trivial.…
The complex genera, symmetric functions and multiple zeta values
Ping Li
We examine the coefficients in front of Chern numbers for complex genera, and pay special attention to the -genus, the -genus as well as the Todd genus.…
Characterization on projective submanifolds of codimensions 2 and 3
Ping Li, Fangyang Zheng
In this article we give a necessary and sufficient condition to characterize projective submanifolds in with codimensions 2 and 3. The conditions involve the Chern…
Chern class inequalities on polarized manifolds and nef vector bundles
Ping Li, Fangyang Zheng
This article is concerned with Chern class and Chern number inequalities on polarized manifolds and nef vector bundles. For a polarized pair with very ample, our first…