P. Miao

collaborators

2 papers

math.DG2025

Horizons in noncompact fill-ins of nonnegative scalar curvature

Pengzi Miao, Sehong Park

Given a complete Riemannian metric of nonnegative scalar curvature on $Σ \times (- \infty, 0]$ , where $Σ$ denotes a $2$ -sphere, we exhibit conditions that imply the existence of a…

math.DG2025

Monotonicity of harmonic functions on $3$ -manifolds with an asymptotically flat end

Pengzi Miao

We derive monotone properties of positive harmonic functions on three dimensional manifolds with nonnegative scalar curvature, with an asymptotically flat end. Rigidity characteriz…

Horizons in noncompact fill-ins of nonnegative scalar curvature

Monotonicity of harmonic functions on 3-manifolds with an asymptotically flat end

Monotonicity of harmonic functions on $3$ -manifolds with an asymptotically flat end