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

G. Pacelli Bessa, Silvana M. Costa

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|…