The asymptotic Plateau problem in Gromov hyperbolic manifolds.

DOI10.1007/s005260100140zbMath1055.49028OpenAlexW2062289100MaRDI QIDQ1809945

Urs Lang

Publication date: 2003

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s005260100140

zbMATH Keywords

Hadamard manifoldasymptotic Plateau problemarea minimizing surfaceslocally rectifiable currents

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Related Items (7)

Minimisers of the Allen-Cahn equation and the asymptotic plateau problem on hyperbolic groups ⋮ Convexity at infinity in Cartan-Hadamard manifolds and applications to the asymptotic Dirichlet and Plateau problems ⋮ Number of least area planes in Gromov hyperbolic $3$-spaces ⋮ Generic uniqueness of least area planes in hyperbolic space ⋮ Properly embedded least area planes in Gromov hyperbolic $3$-spaces ⋮ Asymptotic Plateau problem for prescribed mean curvature hypersurfaces ⋮ Higher rank hyperbolicity

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