Foliations of Hyperbolic Space by Constant Mean Curvature Surfaces Sharing Ideal Boundary

DOI10.1080/10586458.2003.10504503zbMath1081.53029OpenAlexW2035039031WikidataQ125742069 ScholiaQ125742069MaRDI QIDQ5317279

John A. Velling, David L. Chopp

Publication date: 16 September 2005

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1087329236

zbMATH Keywords

foliationhyperbolic spacelevel set methodconstant mean curvature

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Foliations (differential geometric aspects) (53C12)

Related Items (1)

Minimizing constant mean curvature hypersurfaces in hyperbolic space

Cites Work

• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• On the topological type of minimal submanifolds
• Existence and uniqueness of complete constant mean curvature surfaces at infinity of \({\mathbb{H}}^3\)
• Computing minimal surfaces via level set curvature flow
• Hypersurfaces of constant mean curvature in hyperbolic space with prescribed asymptotic boundary at infinity

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