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math.DG2024
Initial data set rigidity results for polyhedra
Xiaoxiang Chai, Xueyuan Wan
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…
math.DG2024
Scalar curvature rigidity of domains in a warped product
Xiaoxiang Chai, Xueyuan Wan
By exploiting the conformality of a warped product metric with a direct product metric, we develop a new connection on a twisted spinor bundle and its associated Dirac operator. We…