A functional inequality on the boundary of static manifolds

Kwok-Kun Kwong; Pengzi Miao

A functional inequality on the boundary of static manifolds

Differential Geometry 2016-02-02 v1

Authors: Kwok-Kun Kwong , Pengzi Miao

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.

Keywords

static manifold Riemannian manifold boundary functional inequality static potential second fundamental form mean curvature

Cite

@article{arxiv.1602.00194,
  title  = {A functional inequality on the boundary of static manifolds},
  author = {Kwok-Kun Kwong and Pengzi Miao},
  journal= {arXiv preprint arXiv:1602.00194},
  year   = {2016}
}

Comments

11 pages; to appear in Asian J. Math

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