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arXiv · 1503.06093

Bernstein type theorems for spacelike stationary graphs in Minkowski spaces

Xiang Ma·Peng Wang·Ling Yang
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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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Xiang Ma, Peng Wang, Ling Yang. 2015-03-20. Bernstein type theorems for spacelike stationary graphs in Minkowski spaces. https://arxiv.org/abs/1503.06093

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