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

preprint2006arXivOpen access

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

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On cylindrically bounded HHH-Hypersurfaces of Hn×R\mathbb{H}^{n}\times \mathbb{R}Hn×R

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