Codimension 2 drawstrings with scalar curvature lower bounds
Demetre Kazaras, Kai Xu · arXiv (Cornell University) · 2025
We produce new examples of Riemannian manifolds with scalar curvature lower bounds and collapsing behavior along codimension 2 submanifolds. Applications of this construction are given, primarily on questions concerning the stability of scalar curvature rigidity phenomena, such as Llarull's Theorem and the Positive Mass Theorem.