Constructions of \(H_r\)-hypersurfaces, barriers and Alexandrov theorem in \(\mathbb H^n\times\mathbb R\)

DOI10.1007/S10231-014-0446-YzbMath1329.53084arXiv1402.6886OpenAlexW999008449MaRDI QIDQ893377

Ricardo Sa Earp, Maria Fernanda Elbert

Publication date: 19 November 2015

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.6886

zbMATH Keywords

Alexandrov theorembarriersentire vertical graphs\(H_r\)-hypersurfaces\(r\)-mean curvaturecomplete horizontal graphs

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (3)

Uniform a priori estimates for a class of horizontal minimal equations ⋮ Geometric barriers for the existence of hypersurfaces with prescribed curvatures in \(\mathbb M^n\times\mathbb R\) ⋮ Hypersurfaces of constant higher-order mean curvature in \(M\times{\mathbb{R}}\)

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