Pei-Ken Hung

activity

20142026

most citedLinear Stability of Schwarzschild Spacetime: Decay of Metric Coefficients

20 citations · 43 across the 17 of their papers we have counts for

collaborators

Showing 2024Show all

3 papers · 1 filter

math.DG2024

Systolic inequalities and the Horowitz-Myers conjecture

S. Brendle, P. K. Hung

Let $n$ be an integer with $3 \leq n \leq 7$ , let $M$ be a compact manifold of dimension $n$ with boundary $\partial M$ , and let $g$ be a Riemannian metric on $M$ with scalar curva…

math.AP2024

Thom's gradient conjecture for nonlinear evolution equations

Beomjun Choi, Pei-Ken Hung

R. Thom's gradient conjecture states that if a gradient flow of an analytic function converges to a limit, it does so along a unique limiting direction. In this paper, we extend an…

math.DG2024

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…