Existence and uniqueness of minimal graphs in hyperbolic space

DOI10.4310/AJM.2000.v4.n3.a9zbMath0984.53005OpenAlexW4233596027MaRDI QIDQ5929578

Ricardo Sa Earp, Eric Toubiana

Publication date: 5 April 2001

Published in: The Asian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/ajm.2000.v4.n3.a9

zbMATH Keywords

minimal surfacehyperbolic spaceinterior estimate

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Non-Euclidean differential geometry (53A35)

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Existence of vertical ends of mean curvature $1/2$ in $\mathbb{H}^{2} ×\mathbb{R}$ ⋮ Translation hypersurfaces with constant curvature in space forms ⋮ Compact minimal vertical graphs with non-connected boundary in \(\mathbb{H}^{n}\times\mathbb{R}\) ⋮ Uniform a priori estimates for a class of horizontal minimal equations ⋮ PARABOLIC AND HYPERBOLIC SCREW MOTION SURFACES IN ℍ²×ℝ ⋮ An asymptotic theorem for minimal surfaces and existence results for minimal graphs in \({\mathbb H^2 \times \mathbb R}\) ⋮ Minimal graphs in \(\mathrm{Nil}_3:\) existence and non-existence results ⋮ Minimal translation surfaces in hyperbolic space ⋮ Meromorphic data for mean curvature one surfaces in hyperbolic three-space ⋮ Minimal graphs in \(\mathbb H^n\times \mathbb R\) and \(\mathbb R^{n+1}\) ⋮ Gradient estimates for the constant mean curvature equation in hyperbolic space ⋮ Classical Schwarz reflection principle for Jenkins-Serrin type minimal surfaces

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