A characterization of Weingarten surfaces in hyperbolic 3-space

DOI10.1007/s12188-010-0039-7zbMath1208.53010arXiv0709.2441OpenAlexW2055756762MaRDI QIDQ609402

Nikos Georgiou, Brendan S. Guilfoyle

Publication date: 30 November 2010

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.2441

zbMATH Keywords

hyperbolic 3-spaceKähler structureWeingarten surfaces

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Non-Euclidean differential geometry (53A35)

Related Items (7)

Minimal surfaces in the product of two dimensional real space forms endowed with a neutral metric ⋮ On the Gauss map of equivariant immersions in hyperbolic space ⋮ Characterization results and a sharp integral inequality for LW spacelike hypersurfaces in locally symmetric Lorentzian spaces ⋮ Marginally trapped surfaces in spaces of oriented geodesics ⋮ Spaces of geodesics of pseudo-Riemannian space forms and normal congruences of hypersurfaces ⋮ On the space of oriented geodesics of hyperbolic 3-space ⋮ Orientability of linear Weingarten surfaces, spacelike CMC-1 surfaces and maximal surfaces

Cites Work

• Unnamed Item
• Unnamed Item
• On closed Weingarten surfaces
• Area-stationary surfaces in neutral Kähler 4-manifolds
• On the space of oriented geodesics of hyperbolic 3-space
• Flat fronts in hyperbolic 3-space
• Flat surfaces in hyperbolic space as normal surfaces to a congruence of geodesics
• Singularities of flat fronts in hyperbolic space
• Some new characterizations of the Euclidean sphere
• ON THE GEOMETRY OF THE SPACE OF ORIENTED LINES OF THE HYPERBOLIC SPACE
• Umbilical Points and W-Surfaces

This page was built for publication: A characterization of Weingarten surfaces in hyperbolic 3-space