Initial data set rigidity results for polyhedra

Transactions of the American Mathematical Society 2026 Open access

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Authors: Xiaoxiang Chai, Xueyuan Wan
DOI: 10.1090/tran/9810
Cited by: 0

Abstract

Using spinors, we show a dihedral type rigidity for polyhedral initial data sets. This rigidity connects spacetime positive mass theorem, dihedral rigidity and capillary marginally trapped surfaces. Our method is to extend the rigidity analysis of spacetime positive mass theorem due to Beig-Chrusciel to the settings of a twisted spinor bundle.

Fields of Study & Subjects

Manufacturing Process and Optimization Computational Geometry and Mesh Generation BIM and Construction Integration

Publication details

Journal / source
Transactions of the American Mathematical Society
Publication date
18 April 2026
Language
EN