The geometry of Nielsen's hull for a Kleinian group in space and quasi- conformal mappings

DOI10.1007/BF00054571zbMath0662.53039MaRDI QIDQ1113468

Boris N. Apanasov

Publication date: 1988

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

zbMATH Keywords

hyperbolic spaceconvex hullMöbius groupdeformations of the conformal structureK-quasi- conformal G-equivariant mapKourouniotis-\(Johnson\)- \(Millson\) conjecture

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20) Spherical and hyperbolic convexity (52A55) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Quasiconformal mappings in the complex plane (30C62)

Related Items

The grafting map of Teichmüller space, Notes on a paper of Mess, On the calculation of quantum mechanical ground states from classical geodesic motion on certain spaces of constant negative curvature, Bending and stamping deformations of hyperbolic manifolds, Boundary structure of convex sets in the hyperbolic space, Nonstandard uniformized conformal structures on hyperbolic manifolds

Cites Work

• Geometrically finite hyperbolic structures on manifolds
• Geometrically finite groups of transformations of space
• On isomorphisms of geometrically finite Möbius groups
• The effect of dimension four in Aleksandrov's problem of filling a space by polyhedra
• Limit points of Kleinian groups and finite sided fundamental polyhedra
• The geometry of finitely generated Kleinian groups
• The coefficients of quasiconformality of domains in space
• Deformations of hyperbolic structures
• Finitely Generated Kleinian Groups
• Discrete Subgroups of the Lorentz Group.
• Unnamed Item
• Unnamed Item
• Unnamed Item