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The influence of the boundary behaviour on hypersurfaces with constant mean curvature in \(H^{n+1}\)

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Publication:1819756
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DOI10.1007/BF02621926zbMath0614.53046OpenAlexW1971918417MaRDI QIDQ1819756

Manfredo Perdigão do Carmo, Gudlaugur Thorbergsson, Jonas de Miranda Gomes

Publication date: 1986

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02621926


zbMATH Keywords

constant mean curvatureboundary regularityrotational hypersurfacesasymptotic boundaryAlexandrov maximum principle


Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)


Related Items

Symmetry of properly embedded special Weingarten surfaces in $\mathbf {H}^3$ ⋮ Spherical surfaces with constant mean curvature in hyperbolic space ⋮ Helicoidal minimal surfaces in hyperbolic space ⋮ The influence of the boundary behavior on isometric immersions in the hyperbolic space ⋮ Uniqueness of horospheres and geodesic cylinders in hyperbolic space ⋮ Mean curvature one surfaces in hyperbolic space, and their relationship to minimal surfaces in Euclidean space



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