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arXiv · 2501.09149

Codimension 2 drawstrings with scalar curvature lower bounds

Demetre Kazaras·Kai Xu
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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.

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Demetre Kazaras, Kai Xu. 2025-01-15. Codimension 2 drawstrings with scalar curvature lower bounds. https://arxiv.org/abs/2501.09149

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