Scalar curvature rigidity of convex polytopes

• 成果类型: Article
• 署名作者: Brendle, Simon
• 署名单位: Columbia University
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-023-01229-x
• 发表日期: 2024
• 页码: 669-708
• 关键词: dirac

摘要

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.