Cylindrically bounded constant mean curvature surfaces in $\mathbb{H}^2\times\mathbb{R}$

Laurent Mazet

arxiv: 1203.2746 · v3 · pith:7R3THGFWnew · submitted 2012-03-13 · 🧮 math.DG

Cylindrically bounded constant mean curvature surfaces in mathbb{H}²timesmathbb{R}

Laurent Mazet This is my paper

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keywords mathbbconstantcurvaturefinitegeodesiclinemeantimes

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In this paper we prove that a properly embedded constant mean curvature surface in $\mathbb{H}^2\times\mathbb{R}$ which has finite topology and stays at a finite distance from a vertical geodesic line is invariant by rotation around a vertical geodesic line.

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Cylindrically bounded constant mean curvature surfaces in mathbb{H}²timesmathbb{R}

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