Shuli Chen

activity

20172025

collaborators

4 papers

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 > \…

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.DG2023

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.CO2017

On the generalized Erdős--Kneser conjecture: proofs and reductions

Jai Aslam, Shuli Chen, Ethan Coldren +2

Alon, Frankl, and Lovász proved a conjecture of Erdős that one needs at least $⌈ \frac{n - r ( k - 1 )}{r - 1} ⌉$ colors to color the $k$ -subsets of ${1, \dots, n}$ such that an…