Bernstein type theorems for spacelike stationary graphs in Minkowski spaces

2015/03/20 by Ma, Xiang, Wang, Peng, Yang, Ling
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1503.06093

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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