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Heinz-type mean curvature estimates in Lorentz-Minkowski space

Published 6 Apr 2020 in math.DG and math.AP | (2004.02528v2)

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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