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Bernstein type theorems for spacelike stationary graphs in Minkowski spaces
classification
🧮 math.DG
keywords
bernsteindimensionalminkowskispacelikegraphsspacespacesstationary
read the original abstract
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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