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Scalar curvature rigidity of convex polytopes

Published 12 Jan 2023 in math.DG | (2301.05087v4)

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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