2 papers
math.DG2024
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…
math.DG2024
Oberwolfach Report: Scalar Curvature Stability
Brian Allen
Although scalar curvature is the simplest curvature invariant, our understanding of scalar curvature has not matured to the same level as Ricci or sectional curvature. Despite this…