Codimension 2 drawstrings with scalar curvature lower bounds
Differential Geometry
2025-01-17 v1
Abstract
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.
Cite
@article{arxiv.2501.09149,
title = {Codimension 2 drawstrings with scalar curvature lower bounds},
author = {Demetre Kazaras and Kai Xu},
journal= {arXiv preprint arXiv:2501.09149},
year = {2025}
}
Comments
52 pages, 2 figures. Comments welcome!