Surfaces with parallel mean curvature in \mathbbS³×ℝ and ℍ³×ℝ

2011/03/31 by Fetcu, Dorel, Rosenberg, Harold
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1103.6254

Abstract

We prove a Simons type equation for non-minimal surfaces with parallel mean curvature vector (pmc surfaces) in M³(c)×ℝ, where M³(c) is a 3-dimensional space form. Then, we use this equation in order to characterize certain complete non-minimal pmc surfaces.

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