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

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

2006-11-09

arxiv.org/abs/math/0611282v1

Differential Geom. Appl. 26 (2008), no. 3, 323--326

Mathematics

Differential Geometry

6 pages

Scientific paper

10.1016/j.difgeo.2007.11.024

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 $| H| > (n-1)/n$.

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