Constructions of $H_r$-hypersurfaces, barriers and Alexandrov Theorem in $H^n\times R$

Maria Fernanda Elbert, Ricardo Sa Earp

In this paper, we are concerned with hypersurfaces in $H^n\times R$ with constant r-mean curvature, to be called $H_r$-hypersurfaces. We construct examples of complete $H_r$-hypers…