Scalar curvature rigidity of convex polytopes
Differential Geometry
2023-11-30 v4
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.
Keywords
Cite
@article{arxiv.2301.05087,
title = {Scalar curvature rigidity of convex polytopes},
author = {S. Brendle},
journal= {arXiv preprint arXiv:2301.05087},
year = {2023}
}
Comments
final version, to appear in Invent. Math