3 citations · 5 across the 5 of their papers we have counts for
5 papers
Boundary Behavior of Compact Manifolds With Scalar Curvature Lower Bounds and Static Quasi-Local Mass of Tori
Aghil Alaee, Pei-Ken Hung, Marcus Khuri
A classic result of Shi and Tam states that a 2-sphere of positive Gauss and mean curvature bounding a compact 3-manifold with nonnegative scalar curvature, must have total mean cu…
Asymptotics for slowly converging evolution equations
Beomjun Choi, Pei-Ken Hung
We investigate slowly converging solutions for non-linear evolution equations of elliptic or parabolic type. These equations arise from the study of isolated singularities in geome…
Linear stability of Schwarzschild spacetime subject to axial perturbations
Pei-Ken Hung, Jordan Keller
In this paper, we address the issue of linear stability of Schwarzschild space- time subject to certain axisymmetric perturbations. In particular, we prove that associ- ated soluti…
Area bounds for minimal surfaces that pass through a prescribed point in a ball
S. Brendle, P. K. Hung
Let be a -dimensional minimal submanifold in the -dimensional unit ball which passes through a point and satisfies . We…
Inverse mean curvature flows in the hyperbolic 3-space revisited
Pei-Ken Hung, Mu-Tao Wang
This note revisits the inverse mean curvature flow in the 3-dimensional hyperbolic space. In particular, we show that the limiting shape is not necessarily round after scaling, thu…