Surfaces of constant mean curvature one in the hyperbolic three-space with irregular ends

DOI10.2748/tmj/1178207483zbMath1027.53011OpenAlexW2094634960MaRDI QIDQ5949607

Zuhuan Yu

Publication date: 2 March 2003

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178207483

zbMATH Keywords

hyperbolic Gauss mapirregular endslinear differential equations with irregular singular pointssurfaces of mean curvature one

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Linear ordinary differential equations and systems (34A30) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Non-Euclidean differential geometry (53A35)

Related Items (6)

Flat fronts in hyperbolic 3-space with prescribed singularities ⋮ A note on minimal surfaces in Euclidean 3-space ⋮ Complete flat surfaces with two isolated singularities in hyperbolic 3-space ⋮ On the generalized Weyl problem for flat metrics in the hyperbolic 3-space ⋮ Minimal surfaces in euclidean 3-space and their mean curvature 1 cousins in hyperbolic 3-space ⋮ Bryant surfaces in \(\mathbb H^3\) of finite type.

Cites Work

• Unnamed Item
• A duality on CMC-1 surfaces in hyperbolic space, and a hyperbolic analogue of the Osserman inequality
• Complete surfaces of constant mean curvature-1 in the hyperbolic 3-space
• Convergent solutions of ordinary linear homogeneous differential equations in the neighborhood of an irregular singular point
• Constant Mean Curvature Surfaces in Hyperbolic Space
• The value distribution of the hyperbolic Gauss map

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