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

Published 9 Nov 2006 in math.DG | (0611282v1)

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

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