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Bernstein type theorems forspacelike stationary graphs in Minkowski spaces
MA Xiang 1, WANG Peng 2, YANG Ling 3 *
1.School of Mathematical Sciences, Peking University, Beijing, 100871.
2.Department of Mathmatics, Tongji University, Shanghai, 200092.
3.School of Mathematical Sciences, Fudan University,Shanghai, 200433.
*Correspondence author
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Funding: MA Xiang is supported by NSFC Project (11171004); WANG Peng is supported by NSFC Project (11201340); YANG Ling is supported by NSFC P（No.20110071120002）
Opened online:22 January 2016
Accepted by: none
Citation: MA Xiang, WANG Peng, YANG Ling.Bernstein type theorems forspacelike stationary graphs in Minkowski spaces[OL]. [22 January 2016] http://en.paper.edu.cn/en_releasepaper/content/4676202
 
 
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 $R^3$ and Calabi's theorem for spacelike maximal surfaces in $R_1^3$.
Keywords:differential geometry; spacelike stationary surface; Bernstein type theorem; Weierstrass representation
 
 
 

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