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

Wu, Baoqiang

doi:10.1090/S0002-9939-03-07045-X

A Bernstein theorem for complete spacelike hypersurfaces of constant mean curvature in Minkowski space
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Proc. Amer. Math. Soc. 132 (2004), 211-215 Request permission

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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