Changliang Wang

collaborators

3 papers

math.DG2025

Singular metrics with nonnegative scalar curvature and RCD

Xianzhe Dai, Changliang Wang, Lihe Wang +1

We show that a uniformly Euclidean metric with isolated singularity on $M^{n} = T^{n} # M_{0}$ , where $4 \leq n \leq 7$ or $n \geq 4$ , $M_{0}$ spin, and nonnegative scalar curvature on the s…

math.DG2025

Gap phenomenon for scalar curvature

Yukai Sun, Changliang Wang

Inspired by Goette-Semmelmann \cite{GSSU2002}, we derive an estimate for the scalar curvature without a nonnegativity assumption on curvature operator. As an application, we show t…

math.DG2024

Positive scalar curvature and isolated conical singularity

Xianzhe Dai, Yukai Sun, Changliang Wang

We prove a Geroch type result for isolated conical singularity. Namely, we show that there is no Riemannian metric $g$ on $X # T^{n}$ with an isolated conical singularity which ha…