6 papers
Scalar Curvature Compactness for Warped Products on with Varying Base Metrics
Changliang Wang, Zhixin Wang
We study the Gromov--Sormani MinA scalar curvature compactness conjecture for warped product metrics on of the form introduced by Kazaras-Xu in \ci…
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 , where or , spin, and nonnegative scalar curvature on the s…
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…
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 on with an isolated conical singularity which ha…
On the Scalar Curvature Compactness Conjecture in the Conformal Case
Brian Allen, Wenchuan Tian, Changliang Wang
Is a sequence of Riemannian manifolds with positive scalar curvature, satisfying some conditions to keep the sequence reasonable, compact? What topology should one use for the conv…
Oberwolfach Workshop Report: Analysis, Geometry and Topology of Positive Scalar Curvature Metrcs: Limits of sequences of manifolds with nonnegative scalar curvature and other hypotheses
Christina Sormani wth Wenchuan Tian, Changliang Wang
This report contains a survey of examples of sequences of manifolds with nonnegative scalar curvature including an extreme example with Wenchuan Tian and Changliang Wang. It announ…