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A Bernstein theorem for complete spacelike hypersurfaces of constant mean curvature in Minkowski space

Author: Baoqiang Wu
Journal: Proc. Amer. Math. Soc. 132 (2004), 211-215
MSC (2000): Primary 53C21, 53C42
Published electronically: June 5, 2003
MathSciNet review: 2021264
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Abstract: In this paper we prove a general Bernstein theorem on the complete spacelike constant mean curvature hypersurfaces in Minkowski space. The result generalizes the previous result of Cao-Shen-Zhu (1998) and Xin (1991). The proof again uses the fact that the Gauss map of a constant mean curvature hypersurface is harmonic, which was proved by K. T. Milnor (1983), and the maximum principle of S. T. Yau (1975).

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Additional Information

Baoqiang Wu
Affiliation: Department of Mathematics, Xuzhou Normal University, Xuzhou 221009, People’s Republic of China

Keywords: Constant mean curvature, spacelike hypersurface, Minkowski space
Received by editor(s): May 31, 2002
Received by editor(s) in revised form: August 15, 2002
Published electronically: June 5, 2003
Additional Notes: This research was partially supported by a JNSF grant
Communicated by: Bennett Chow
Article copyright: © Copyright 2003 American Mathematical Society