3 papers
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…
math.DG2023
A tilted spacetime positive mass theorem
Xiaoxiang Chai
We show a spacetime positive mass theorem for asymptotically flat initial data sets with a noncompact boundary. We develop a mass type invariant and a boundary dominant energy cond…
math.DG2022
Dihedral rigidity in hyperbolic 3-space
Xiaoxiang Chai, Gaoming Wang
We prove a comparison theorem for certain types of polyhedra in a 3-manifold with its scalar curvature bounded below by . The result confirms in some cases the Gromov dihedral…