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 | References | Similar Articles | Additional Information

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

Email:
bqwu@pub.xz.jsinfo.net

DOI:
https://doi.org/10.1090/S0002-9939-03-07045-X

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