Locally strongly convex hypersurfaces with constant affine mean curvature
Locally strongly convex hypersurfaces with constant affine mean curvature
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DOI：
10.1016/j.difgeo.2004.10.007
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发表时间：
2005-03
影响因子：
0.5
通讯作者：
F. Jia;An-Min Li
中科院分区：
文献类型：
--
作者：
F. Jia;An-Min Li
Let x:M→An+1be a locally strongly convex hypersurface, given by a strictly convex function xn+1=f(x1,…,xn) defined in a convex domain Ω⊂An. We consider the Riemannian metric G#on M, defined by G#=∑∂2f∂xi∂xjdxidxj. In this paper we prove that if M is a locally strongly convex surface with constant affine mean curvature and if M is complete with respect to the metric G#, then M must be an elliptic paraboloid.
