Bryant surfaces in \(\mathbb H^3\) of finite type.

DOI10.1016/S0007-4497(02)01130-2zbMath1039.53066MaRDI QIDQ1865011

Benoît Daniel

Publication date: 23 March 2003

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

zbMATH Keywords

hyperbolic spaceconstant mean curvaturehyperbolic Gauss mapregular endcmc-1-surface of finite typefinite growth in the sense of Nevanlinna

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items

Opening nodes on horosphere packings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Minimal surfaces in \(\mathbb{R}^3\) with one end and bounded curvature
• 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
• Embedded minimal ends of finite type
• Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85)
• The value distribution of the hyperbolic Gauss map
• Minimal surfaces of finite type
• Surfaces of constant mean curvature one in the hyperbolic three-space with irregular ends