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arXiv 2015-03-20 0 views

Bernstein type theorems for spacelike stationary graphs in Minkowski spaces

Ma, Xiang · Wang, Peng · Yang, Ling

Original · EN

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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