English

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

Differential Geometry 2010-01-04 v1

Abstract

We show that HH-hypersurfaces of Hn×R\mathbb{H}^{n}\times \mathbb{R} contained in a vertical cylinder and with Ricci curvature with strong quadratic decay have mean curvature H>(n1)/n| H| > (n-1)/n.

Keywords

Cite

@article{arxiv.math/0611282,
  title  = {On cylindrically bounded $H$-Hypersurfaces of $\mathbb{H}^{n}\times \mathbb{R}$},
  author = {G. Pacelli Bessa and Silvana M. Costa},
  journal= {arXiv preprint arXiv:math/0611282},
  year   = {2010}
}

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6 pages