Bernstein type theorems for spacelike stationary graphs in Minkowski spaces
Differential Geometry
2015-03-23 v1
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.
Keywords
Cite
@article{arxiv.1503.06093,
title = {Bernstein type theorems for spacelike stationary graphs in Minkowski spaces},
author = {Xiang Ma and Peng Wang and Ling Yang},
journal= {arXiv preprint arXiv:1503.06093},
year = {2015}
}
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15 pages