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arxiv: 1503.06093 · v1 · submitted 2015-03-20 · 🧮 math.DG

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Bernstein type theorems for spacelike stationary graphs in Minkowski spaces

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keywords bernsteindimensionalminkowskispacelikegraphsspacespacesstationary
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For entire spacelike stationary 2-dimensional graphs in Minkowski spaces, we establish Bernstein type theorems under specific boundedness assumptions either on the W-function or on the total (Gaussian) curvature. These conclusions imply the classical Bernstein theorem for minimal surfaces in 3-dimensional Euclidean space and Calabi's theorem for spacelike maximal surfaces in 3-dimensional Minkowski space.

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