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

G. Pacelli Bessa; Silvana M. Costa

doi:10.1016/j.difgeo.2007.11.024

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

G. Pacelli Bessa·Silvana M. Costa

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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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BibTeX RIS

G. Pacelli Bessa, Silvana M. Costa. 2006-11-09. On cylindrically bounded $H$-Hypersurfaces of $\mathbb{H}^{n}\times \mathbb{R}$. https://doi.org/10.1016/j.difgeo.2007.11.024

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