Shuli Chen

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.DG2025

Positive scalar curvature metrics and aspherical summands

Shuli Chen, Jianchun Chu, Jintian Zhu

We prove for $n \in {3, 4, 5}$ that the connected sum of a closed aspherical $n$ -manifold with an arbitrary non-compact manifold does not admit a complete metric with nonnegative sca…

math.DG2025

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay

Shuli Chen

We prove that if an orientable 3-manifold $M$ admits a complete Riemannian metric whose scalar curvature is positive and has at most $C$ -quadratic decay at infinity for some $C > \…