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Complete minimal surfaces in hyperbolic space

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Publication:1264316
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DOI10.1007/s002080050192zbMath0916.53030OpenAlexW2037324509MaRDI QIDQ1264316

Geraldo de Oliveira, Marc Soret

Publication date: 15 July 1999

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002080050192


zbMATH Keywords

hyperbolic spaceminimal surfacesprescribed topological type


Mathematics Subject Classification ID

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


Related Items (8)

Relative entropy of hypersurfaces in hyperbolic space ⋮ Renormalized area for minimal hypersurfaces of 5D Poincaré-Einstein spaces ⋮ New minimal surfaces in the hyperbolic space ⋮ Caccioppoli's inequalities on constant mean curvature hypersurfaces in Riemannian manifolds ⋮ \(H\)-surfaces with arbitrary topology in hyperbolic 3-space ⋮ Renormalized area and properly embedded minimal surfaces in hyperbolic 3-manifolds ⋮ Asymptotic Plateau problem for prescribed mean curvature hypersurfaces ⋮ Eigenvalue estimates for minimal surfaces in hyperbolic space




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