6 papers
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…
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…
Positive scalar curvature metrics and aspherical summands
Shuli Chen, Jianchun Chu, Jintian Zhu
We prove for that the connected sum of a closed aspherical -manifold with an arbitrary non-compact manifold does not admit a complete metric with nonnegative sca…
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.
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…
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…