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arXiv · 2004.02528

Heinz-type mean curvature estimates in Lorentz-Minkowski space

Atsufumi Honda·Yu Kawakami·Miyuki Koiso·Syunsuke Tori
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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.

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Atsufumi Honda, Yu Kawakami, Miyuki Koiso, Syunsuke Tori. 2020-04-06. Heinz-type mean curvature estimates in Lorentz-Minkowski space. https://doi.org/10.1007/s13163-020-00373-9

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