4 papers
math.DG2021
On the weighted orthogonal Ricci curvature
Kyle Broder, Kai Tang
We introduce the weighted orthogonal Ricci curvature -- a two-parameter version of Ni--Zheng's orthogonal Ricci curvature. This curvature serves as a very natural object in the stu…
math.DG2021
On almost nonpositive -Ricci curvature
Kai Tang
Motivated by the recent work of Chu-Lee-Tam on the nefness of canonical line bundle for compact Kähler manifolds with nonpositive -Ricci curvature, we consider a natural notion…
math.DG2019
The -Bochner formulas for holomorphic mappings between Hermitian manifolds and their applications
Kai Tang
In this paper, we derive some -Bochner formulas for holomorphic maps between Hermitian manifolds. As applications, we prove some Schwarz lemma type est…
math.DG2019
Positive curvature operator, projective manifold and rational connectedness
Kai Tang
In his recent work \cite{Y1}, X. Yang proved a conjecture raised by Yau in 1982 (\cite{Yau82}), which states that any compact Kähler manifold with positive holomorphic sectional cu…