Four Classes of Surfaces with Constant Mean Curvature in S-3 x R and H-3 x R

摘要

Deforming rotation surfaces with constant mean curvature in S-3 and H-3 to S-3 x R and H-3 x R respectvely, we give four classes of surfaces with mean curvature vector of constant length in S-3 x R and H-3 x R. We have complete minimal surfaces in S-3 x R and H-3 x R. Also we obtain minimal 2-tori in S-3 x S-1, some of which are embedded.