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A Bernstein theorem for complete spacelike hypersurfaces of constant mean curvature in Minkowski space
Author(s):
Baoqiang
Wu
Journal:
Proc. Amer. Math. Soc.
132
(2004),
211-215.
MSC (2000):
Primary 53C21, 53C42
Posted:
June 5, 2003
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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).
References:
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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:
10.1090/S0002-9939-03-07045-X
PII:
S 0002-9939(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
Posted:
June 5, 2003
Additional Notes:
This research was partially supported by a JNSF grant
Communicated by:
Bennett Chow
Copyright of article:
Copyright
2003,
American Mathematical Society
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