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

G. Pacelli Bessa; Silvana M. Costa

arxiv: math/0611282 · v1 · submitted 2006-11-09 · 🧮 math.DG

On cylindrically bounded H-Hypersurfaces of mathbb{H}^(n)times mathbb{R}

G. Pacelli Bessa , Silvana M. Costa This is my paper

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keywords mathbbcurvaturehypersurfacestimesboundedcontainedcylindercylindrically

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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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