Changliang Wang

activity

20242026

collaborators

4 papers

math.DG2026

Scalar Curvature Compactness for Warped Products on $S^{2} \times S^{1}$ with Varying Base Metrics

Changliang Wang, Zhixin Wang

We study the Gromov--Sormani MinA scalar curvature compactness conjecture for warped product metrics on $S^{2} \times S^{1}$ of the form introduced by Kazaras-Xu in \ci…

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…

Scalar Curvature Compactness for Warped Products on S2×S1 with Varying Base Metrics

Singular metrics with nonnegative scalar curvature and RCD

Gap phenomenon for scalar curvature

Positive scalar curvature and isolated conical singularity

Scalar Curvature Compactness for Warped Products on $S^{2} \times S^{1}$ with Varying Base Metrics