凸多边形的标量曲率刚性

IF 2.6 1区数学 Q1 MATHEMATICS

Inventiones mathematicae Pub Date : 2023-11-29 DOI:10.1007/s00222-023-01229-x

Simon Brendle

引用次数: 3

摘要

证明了凸多面体的标量曲率刚性定理。用Fredholm理论证明了有边界流形上的狄拉克算子。Fefferman和Phong定理的一个变体在我们的分析中起着中心作用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Scalar curvature rigidity of convex polytopes

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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来源期刊

Inventiones mathematicae 数学-数学

CiteScore

5.60

自引率

3.20%

发文量

审稿时长

12 months

期刊介绍： This journal is published at frequent intervals to bring out new contributions to mathematics. It is a policy of the journal to publish papers within four months of acceptance. Once a paper is accepted it goes immediately into production and no changes can be made by the author(s).