Scalar curvature rigidity of convex polytopes

DOI10.1007/s00222-023-01229-xarXiv2301.05087OpenAlexW4389131012MaRDI QIDQ6178378

Simon Brendle

Publication date: 18 January 2024

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.05087

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Rigidity results (53C24)

Cites Work

• Positive scalar curvature and the Dirac operator on complete Riemannian manifolds
• The analysis of linear partial differential operators. III: Pseudo-differential operators
• Spin and scalar curvature in the presence of a fundamental group. I
• Sharp estimates and the Dirac operator
• A new proof of the positive energy theorem.
• Dirac and Plateau billiards in domains with corners
• A polyhedron comparison theorem for 3-manifolds with positive scalar curvature
• The mass of an asymptotically flat manifold
• Classical and Multilinear Harmonic Analysis
• Index theory for scalar curvature on manifolds with boundary
• Guide to Elliptic Boundary Value Problems for Dirac-Type Operators
• Boundary Value Problems for Elliptic Differential Operators of First Order
• Four Lectures on Scalar Curvature
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