4 papers · 1 filter
Homological -systole in -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…
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…
Llarull's theorem on punctured sphere with metric
Jianchun Chu, Man-Chun Lee, Jintian Zhu
The classical Llarull theorem states that a smooth metric on -sphere cannot have scalar curvature no less than and dominate the standard spherical metric at the same ti…
The rigidity of eigenvalues on Kähler manifolds with positive Ricci lower bound
Jianchun Chu, Feng Wang, Kewei Zhang
In this work, optimal rigidity results for eigenvalues on Kähler manifolds with positive Ricci lower bound are established. More precisely, for those Kähler manifolds whose first e…