Jianchun Chu

collaborators

3 papers

math.DG2025

Interior control for surfaces with positive scalar curvature and its application

Shuli Chen, Jianchun Chu, Jintian Zhu

Let $M^{n}$ , $n \in {3, 4, 5}$ , be a closed aspherical $n$ -manifold and $S \subset M$ a subset consisting of disjoint incompressible embedded closed aspherical submanifolds (possibly…

math.DG2024

Homological $n$ -systole in $(n + 1)$ -manifolds and bi-Ricci curvature

Jianchun Chu, Man-Chun Lee, Jintian Zhu

In this paper, we prove an optimal systolic inequality and the corresponding rigidity in the equality case on closed manifolds with positive bi-Ricci curvature, which generalizes t…

math.DG2024

On Kähler manifolds with non-negative mixed curvature

Jianchun Chu, Man-Chun Lee, Jintian Zhu

In this work, we investigate compact Kähler manifolds with non-negative or quasi-positive mixed curvature coming from a linear combination of the Ricci and holomorphic sectional cu…

Interior control for surfaces with positive scalar curvature and its application

Homological n-systole in (n+1)-manifolds and bi-Ricci curvature

On Kähler manifolds with non-negative mixed curvature

Homological $n$ -systole in $(n + 1)$ -manifolds and bi-Ricci curvature