Xiaoxiang Chai

activity

20182026

most citedThe mass of an asymptotically hyperbolic end and distance estimates

3 citations · 13 across the 26 of their papers we have counts for

collaborators

Showing 2023Show all

4 papers · 1 filter

math.DG2023

Scalar curvature rigidity of parabolic convex polytopes in hyperbolic space

Xiaoxiang Chai, Xueyuan Wan

In odd dimensions, we prove a scalar curvature rigidity for parabolic convex polytopes in hyperbolic space enclosed by linear planes in the Poincare upper half-space model and conv…

math.DG2023

Spectral constant rigidity of warped product metrics

Xiaoxiang Chai, Juncheol Pyo, Xueyuan Wan

A theorem of Llarull says that if a smooth metric $g$ on the $n$ -sphere $S^{n}$ is bounded below by the standard round metric and the scalar curvature $R_{g}$ of $g$ is bounde…

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.DG2023

Scalar curvature comparison of rotationally symmetric sets

Xiaoxiang Chai, Gaoming Wang

Let $(M, g)$ be a compact 3-manifold with nonnegative scalar curvature $R_{g} \geq 0$ . The boundary $\partial M$ is diffeomorphic to the boundary of a rotationally symmetric and weakl…