A half-space theorem for graphs of constant mean curvature $0<H<\frac{1}{2}$ in $\mathbb{H}^2\times\mathbb{R}$

Laurent Mazet; Gabriela A. Wanderley

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arXiv · 1411.4779

A half-space theorem for graphs of constant mean curvature $0<H<\frac{1}{2}$ in $\mathbb{H}^2\times\mathbb{R}$

Laurent Mazet·Gabriela A. Wanderley

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Abstract

We study a half-space problem related to graphs in $\mathbb{H}^2\times\mathbb{R}$, where $\mathbb{H}^2$ is the hyperbolic plane, having constant mean curvature $H$ defined over unbounded domains in $\mathbb{H}^2$.

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Laurent Mazet, Gabriela A. Wanderley. 2014-11-18. A half-space theorem for graphs of constant mean curvature $0<H<\frac{1}{2}$ in $\mathbb{H}^2\times\mathbb{R}$. https://arxiv.org/abs/1411.4779

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