Complete linear Weingarten hypersurfaces immersed in the hyperbolic space
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概要
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In this paper, we apply the Hopfs strong maximum principle in order to obtain a suitable characterization of the complete linear Weingarten hypersurfaces immersed in the hyperbolic space ℍn+1. Under the assumption that the mean curvature attains its maximum and supposing an appropriated restriction on the norm of the second fundamental form, we prove that such a hypersurface must be either totally umbilical or isometric to a hyperbolic cylinder of ℍn+1.
- The Mathematical Society of Japanの論文
The Mathematical Society of Japan | 論文
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