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Some properties of hypersurfaces of prescribed mean curvature in \(H^{n+1}\)

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Publication:1354886
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zbMath0872.53008MaRDI QIDQ1354886

Barbara Nelli, Ricardo Sa Earp

Publication date: 14 May 1997

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)


zbMATH Keywords

hyperbolic spaceconstant mean curvatureprescribed mean curvature graphs


Mathematics Subject Classification ID

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


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Some remarks on embedded hypersurfaces in hyperbolic space of constant curvature and spherical boundary ⋮ Some remarks on positive scalar and Gauss-Kronecker curvature hypersurfaces of \({\mathbb R}^{n+1}\) and \({\mathbb H}^{n+1}\) ⋮ Uniform a priori estimates for a class of horizontal minimal equations ⋮ Uniqueness of \(H\)-surfaces in \(\mathbb H^2 \times \mathbb R\), \(|H|\leq 1/2\), with boundary one or two parallel horizontal circles ⋮ Existence and uniqueness of CMC parabolic graphs in \(\mathbb H^3\) with boundary data satisfying the bounded slope condition ⋮ An extension of a theorem of Serrin to graphs in warped products



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