Constant mean curvature graphs in $\mathbb{H}^3$ defined in exterior domains

Adilson Nunes; Jaime Ripoll; Patricia Klaser

arxiv: 2109.07970 · v2 · pith:ODYU3WLZnew · submitted 2021-09-16 · 🧮 math.DG · math.AP

Constant mean curvature graphs in mathbb{H}³ defined in exterior domains

Patricia Klaser , Adilson Nunes , Jaime Ripoll This is my paper

classification 🧮 math.DG math.AP

keywords omegadefinedexteriorgivengraphshyperspheremathbbboundary

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Given $H\in [0,1)$ and given a $C^0$ exterior domain $\Omega$ in a $H-$hypersphere of $\mathbb{H}^3,$ the existence of hyperbolic Killing graphs of CMC $H$ defined in $\overline{\Omega}$ with boundary $ \partial \Omega $ included in the $H-$hypersphere is obtained.

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Constant mean curvature graphs in mathbb{H}³ defined in exterior domains

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