A functional inequality on the boundary of static manifolds
  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. 
Kwok-Kun Kwong and Pengzi Miao
math.DG