Heinz-type mean curvature estimates in Lorentz-Minkowski space
Differential Geometry
2023-08-31 v2 Analysis of PDEs
Abstract
We provide a unified description of Heinz-type mean curvature estimates under an assumption on the gradient bound for space-like graphs and time-like graphs in the Lorentz-Minkowski space. As a corollary, we give a unified vanishing theorem of mean curvature for these entire graphs of constant mean curvature.
Keywords
Cite
@article{arxiv.2004.02528,
title = {Heinz-type mean curvature estimates in Lorentz-Minkowski space},
author = {Atsufumi Honda and Yu Kawakami and Miyuki Koiso and Syunsuke Tori},
journal= {arXiv preprint arXiv:2004.02528},
year = {2023}
}
Comments
11 pages, no figure, minor revision