Constant mean curvature surfaces in $\mathbb{H}^2\times\mathbb{R}$ with boundary in two parallel planes

Miriam Telichevesky; Patr\'icia Klaser; Rodrigo Soares

arxiv: 1512.07637 · v1 · pith:NC2YZ57Mnew · submitted 2015-12-23 · 🧮 math.DG

Constant mean curvature surfaces in mathbb{H}²timesmathbb{R} with boundary in two parallel planes

Rodrigo Soares , Patr\'icia Klaser , Miriam Telichevesky This is my paper

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keywords mathbbboundaryparallelplanessurfacestimesboundedconditions

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Given $H\in [0,\infty),$ some sufficient conditions for existence of CMC $H$ graphs with boundary in two parallel planes of $\mathbb{H}^2\times\mathbb{R}$ are presented. Height estimates for outwards-oriented CMC surfaces (horo)cyllindrically bounded are also exhibited.

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Constant mean curvature surfaces in mathbb{H}²timesmathbb{R} with boundary in two parallel planes

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