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On cylindrically bounded $H$-Hypersurfaces of $\mathbb{H}^{n}\times \mathbb{R}$

By G. Pacelli Bessa and Silvana M. Costa

Abstract

We show that $H$-hypersurfaces of $\mathbb{H}^{n}\times \mathbb{R}$ contained in a vertical cylinder and with Ricci curvature with strong quadratic decay have mean curvature $| H| > (n-1)/n$.Comment: 6 page

Topics: Mathematics - Differential Geometry
Publisher: 'Elsevier BV'
Year: 2006
DOI identifier: 10.1016/j.difgeo.2007.11.024
OAI identifier: oai:arXiv.org:math/0611282

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