Heinz-type mean curvature estimates in Lorentz-Minkowski space

Atsufumi Honda,Yu Kawakami,Miyuki Koiso, Syunsuke Tori

REVISTA MATEMATICA COMPLUTENSE（2020）

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摘要

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.

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关键词

Heinz-type mean curvature estimate,Bernstein-type theorem,Space-like graph,Time-like graph,Constant mean curvature

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