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

Rodrigo Soares; Patrícia Klaser; Miriam Telichevesky

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arXiv · 1512.07637

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

Rodrigo Soares·Patrícia Klaser·Miriam Telichevesky

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Abstract

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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Rodrigo Soares, Patrícia Klaser, Miriam Telichevesky. 2015-12-23. Constant mean curvature surfaces in $\mathbb{H}^2\times\mathbb{R}$ with boundary in two parallel planes. https://arxiv.org/abs/1512.07637

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