Abstract
We classify the profile curves of all surfaces with constant mean curvature in the product space \({\mathbb{H}}^2 \times {\mathbb{R}}\) , which are invariant under the action of a 1-parameter subgroup of isometries.
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I dedicate this work to my supervisor Francesco Mercuri, on the occasion of his 60th anniversary.
The author was supported by INdAM (Italy) and Fapesp (Brazil).
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Onnis, I.I. Invariant surfaces with constant mean curvature in \({\mathbb{H}}^2 \times {\mathbb{R}}\) . Annali di Matematica 187, 667–682 (2008). https://doi.org/10.1007/s10231-007-0061-2
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DOI: https://doi.org/10.1007/s10231-007-0061-2