Existence of vertical ends of mean curvature $1/2$ in $\mathbb{H}^{2} ×\mathbb{R}$

DOI10.1090/S0002-9947-2011-05361-4zbMath1241.53052arXiv0803.2244OpenAlexW2142900717MaRDI QIDQ2880678

Ricardo Sa Earp, Maria Fernanda Elbert, Barbara Nelli

Publication date: 13 April 2012

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.2244

zbMATH Keywords

\(\mathbb {H}^{2} \times \mathbb {R}\)vertical end of mean curvature \(1/2\)

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (4)

Constructions of \(H_r\)-hypersurfaces, barriers and Alexandrov theorem in \(\mathbb H^n\times\mathbb R\) ⋮ Constant mean curvature hypersurfaces in \(\mathbb{H}^n \times \mathbb{R}\) with small planar boundary ⋮ Uniform a priori estimates for a class of horizontal minimal equations ⋮ Constant mean curvature graphs on exterior domains of the hyperbolic plane

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