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arXiv · 2301.05087

Scalar curvature rigidity of convex polytopes

S. Brendle
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Abstract

We prove a scalar curvature rigidity theorem for convex polytopes. The proof uses the Fredholm theory for Dirac operators on manifolds with boundary. A variant of a theorem of Fefferman and Phong plays a central role in our analysis.

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S. Brendle. 2023-01-12. Scalar curvature rigidity of convex polytopes. https://arxiv.org/abs/2301.05087

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