Abstract
Deforming rotation surfaces with constant mean curvature in S3 and H3 to S3 × R and H3 × R respectvely, we give four classes of surfaces with mean curvature vector of constant length in S3 × R and H3 × R. We have complete minimal surfaces in S3 × R and H3 × R. Also we obtain minimal 2-tori in S3 × S1, some of which are embedded.
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