Height estimates and half-space theorems for hypersurfaces in product spaces of the type $ℝ\times M^n$

Abstract

We obtain height estimates and half-space theorems concerning a wide class of hypersurfaces immersed into a product space $ℝ\times M^n$, the so-called generalized linear Weingarten hypersurfaces, which extends that one having some constant higher order mean curvature.

Key words
Product spaces; generalized linear Weingarten hypersurfaces; height estimates; half-space theorems