# A functional inequality on the boundary of static manifolds

Research paper by Kwok-Kun Kwong, Pengzi Miao

Indexed on: 30 Jan '16Published on: 30 Jan '16Published in: Mathematics - Differential Geometry

#### Abstract

On the boundary of a compact Riemannian manifold $(\Omega, g)$ whose metric $g$ is static, we establish a functional inequality involving the static potential of $(\Omega, g)$, the second fundamental form and the mean curvature of the boundary $\partial \Omega$ respectively.