3 citations · 13 across the 26 of their papers we have counts for
6 papers · 1 filter
A perturbation of spacetime Laplacian equation
Xiaoxiang Chai
We study a perturbation \begin{equation} Δu + P | \nabla u| = h | \nabla u|, \end{equation} of spacetime Laplacian equation in an initial data set where is the trac…
Hypersurfaces of prescribed null expansion
Xiaoxiang Chai
We study hypersurfaces with prescribed null expansion in an initial data set. We propose a notion of stability and prove a topology theorem. Eichmair's Perron approach toward the e…
Scalar curvature, mean curvature and harmonic maps to the circle
Xiaoxiang Chai, Inkang Kim
We study harmonic maps from a 3-manifold with boundary to and prove a special case of dihedral rigidity of three dimensional cubes whose dihedral angles are .…
Mass and polyhedra in asymptotically hyperbolic manifolds
Xiaoxiang Chai
Using the upper half space model, we evaluate a component of the hyperbolic mass functional evaluated on a special family of polyhedra extending a formula of Miao-Piubello.
Asymptotically hyperbolic manifold with a horospherical boundary
Xiaoxiang Chai
We discuss asymptotically hyperbolic manifold with a noncompact boundary which is close to a horosphere in a certain sense. The model case is a horoball or the complement of a horo…
A note on Minkowski formula of conformal Killing-Yano -form
Xiaoxiang Chai
We study the Minkowski formula of conformal Killing-Yano two-forms in a spacetime of constant curvature. We establish the spacetime Alexandrov theorem with a free boundary.