A Bernstein theorem for complete spacelike hypersurfaces of constant mean curvature in Minkowski space
Author:
Baoqiang Wu
Journal:
Proc. Amer. Math. Soc. 132 (2004), 211215
MSC (2000):
Primary 53C21, 53C42
Published electronically:
June 5, 2003
MathSciNet review:
2021264
Fulltext PDF Free Access
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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 CaoShenZhu (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:
http://dx.doi.org/10.1090/S000299390307045X
PII:
S 00029939(03)07045X
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
