Abstract
In this paper, we give all solutions of the constant mean curvature equation in \({\mathbb{H}^n\times\mathbb{R}}\) that are invariant by parabolic screw motion and we give the full description of their geometric behaviors. Some of these solutions give examples of non-trivial entire stable horizontal graphs that are not vertical graphs.
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Maria Fernanda Elbert and Ricardo Sa Earp: partially supported by Faperj and CNPq.
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Elbert, M.F., Sa Earp, R. All solutions of the CMC-equation in \({\mathbb{H}^n\times\mathbb{R}}\) invariant by parabolic screw motion. Annali di Matematica 193, 103–114 (2014). https://doi.org/10.1007/s10231-012-0268-8
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DOI: https://doi.org/10.1007/s10231-012-0268-8