Some remarks on the existence of hypersurfaces of constant mean curvature with a given boundary, or asymptotic boundary, in hyperbolic space

zbMath0882.53044MaRDI QIDQ1357495

Harold Rosenberg, Hilário Alencar

Publication date: 10 June 1997

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

zbMATH Keywords

Euclidean spacehyperbolic spaceconstant mean curvature surfaceprescribed asymptotic boundaryprescribed boundary

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)

Related Items (8)

Existence and regularity of constant mean curvature hypersurfaces in hyperbolic space ⋮ CMC hypersurfaces with bounded Morse index ⋮ Non-properly embedded \(H\)-planes in \(\mathbb H^2\times \mathbb R\) ⋮ Bubbles with constant mean curvature, and almost constant mean curvature, in the hyperbolic space ⋮ \(H\)-surfaces with arbitrary topology in hyperbolic 3-space ⋮ Minimizing constant mean curvature hypersurfaces in hyperbolic space ⋮ Asymptotic Plateau problem for prescribed mean curvature hypersurfaces ⋮ Limit lamination theorem for H-disks

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