8 papers · 1 filter
Rigidity of positive mass theorem with fast metric decay
Jianchun Chu, Man-Chun Lee, Jingbo Wan
In this work, we consider metrics on Euclidean space with nonnegative scalar curvature and rapid decay at infinity. We show that, in dimensions four and higher, any such metric is…
On diameter rigidity for Kähler manifolds with positive holomorphic sectional curvature
Jianchun Chu, Man-Chun Lee, Jintian Zhu
In this paper, we establish some diameter rigidity for Kähler manifolds with positive holomorphic sectional curvature.
Interior control for surfaces with positive scalar curvature and its application
Shuli Chen, Jianchun Chu, Jintian Zhu
Let , , be a closed aspherical -manifold and a subset consisting of disjoint incompressible embedded closed aspherical submanifolds (possibly…
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…