%0 Journal Article
%T A Simons type formula for surfaces with parallel mean curvature
%A Dorel Fetcu
%A Harold Rosenberg
%J Mathematics
%D 2011
%I arXiv
%X We prove a Simons type equation for non-minimal surfaces with parallel mean curvature vector (pmc surfaces) in $M^n(c)\times\mathbb{R}$, where $M^n(c)$ is an $n$-dimensional space form. Then, we use this equation in order to characterize complete non-minimal pmc surfaces with non-negative Gaussian curvature.
%U http://arxiv.org/abs/1102.0219v2