Kai Tang

collaborators

4 papers

math.CV2026

rank-3 generalized Clifford manifold and its twistor space

Guangzhen Ren, Kai Tang, Qingyan Wu

We introduce the notion of a rank-3 generalized Clifford manifold, defined by a triple of generalized complex structures satisfying Clifford-type relations. We show that every such…

math.DG2025

Quasi-positive mixed curvature, vanishing theorems, and rational connectedness

Kai Tang

In this paper, we consider {\em mixed curvature} $C_{a, b}$ , which is a convex combination of Ricci curvature and holomorphic sectional curvature introduced by Chu-Lee-Tam…

math.DG2025

Constant $k$ th-mixed curvature

Weiguo Chen, Kai Tang

In this paper, we consider general $k$ th-mixed curvature $C_{I^\pm, I^^{2}}^{(k)}$ ( $I^^{2} \neq = 0$ ) for Hermitian manifolds, which is a convex combination of the $k$ th Chern Ricci cur…

math.DG2025

On mixed curvature for Hermitian manifolds

Kai Tang

In this paper, we consider {\em mixed curvature} $C_{α, β}$ for Hermitian manifolds, which is a convex combination of the first Chern Ricci curvature and holomorphic secti…

rank-3 generalized Clifford manifold and its twistor space

Quasi-positive mixed curvature, vanishing theorems, and rational connectedness

Constant kth-mixed curvature

On mixed curvature for Hermitian manifolds

Constant $k$ th-mixed curvature