A functional inequality on the boundary of static manifolds

Kwok-Kun Kwong; Pengzi Miao

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arXiv · 1602.00194

A functional inequality on the boundary of static manifolds

Kwok-Kun Kwong·Pengzi Miao

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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.

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Kwok-Kun Kwong, Pengzi Miao. 2016-01-31. A functional inequality on the boundary of static manifolds. https://arxiv.org/abs/1602.00194

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