Heinz-type mean curvature estimates in Lorentz-Minkowski space

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.

11 pages, no figure, minor revision

References in corpus (2)

• Bernstein Theorems for Space-like Graphs with Parallel Mean Curvature and Controlled Growth
• The Dirichlet problem of the constant mean curvature equation in Lorentz-Minkowski space and in Euclidean space