On the space of oriented geodesics of hyperbolic 3-space

DOI10.1216/RMJ-2010-40-4-1183zbMath1202.53045arXivmath/0702276MaRDI QIDQ990314

Nikos Georgiou, Brendan S. Guilfoyle

Publication date: 7 September 2010

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702276

zbMATH Keywords

isometry grouphyperbolic spaceKaehler structure

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22)

Related Items (19)

Calibrated geodesic foliations of hyperbolic space ⋮ Infinitesimally helicoidal motions with fixed pitch of oriented geodesics of a space form ⋮ The causal topology of neutral 4-manifolds with null boundary ⋮ The magnetic flow on the manifold of oriented geodesics of a three dimensional space form ⋮ A characterization of Weingarten surfaces in hyperbolic 3-space ⋮ Almost paracomplex structures on 4-manifolds ⋮ Hopf hypersurfaces in spaces of oriented geodesics ⋮ Holonomy classification of Lorentz-Kähler manifolds ⋮ On the Gauss map of equivariant immersions in hyperbolic space ⋮ A para-Kähler structure in the space of oriented geodesics in a real space form ⋮ On the geometry of spaces of oriented geodesics ⋮ Isometric immersions of the hyperbolic plane into the hyperbolic space ⋮ Marginally trapped surfaces in spaces of oriented geodesics ⋮ Global smooth geodesic foliations of the hyperbolic space ⋮ Spaces of geodesics of pseudo-Riemannian space forms and normal congruences of hypersurfaces ⋮ Locally conformally flat Kähler and para-Kähler manifolds ⋮ Mean curvature flow of compact spacelike submanifolds in higher codimension ⋮ On minimal Lagrangian surfaces in the product of Riemannian two manifolds ⋮ On Hamiltonian minimal submanifolds in the space of oriented geodesics in real space forms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A characterization of Weingarten surfaces in hyperbolic 3-space
• Monopoles and geodesics
• Flat surfaces in hyperbolic space as normal surfaces to a congruence of geodesics
• Singularities of flat fronts in hyperbolic space
• On the geometry of the space of oriented lines of Euclidean space
• Surfaces of Constant Mean Curvature 1 in  3 and Algebraic Curves on a Quadric
• An Indefinite Kähler Metric on the Space of Oriented Lines
• ON THE GEOMETRY OF THE SPACE OF ORIENTED LINES OF THE HYPERBOLIC SPACE

This page was built for publication: On the space of oriented geodesics of hyperbolic 3-space