Geometrically finite hyperbolic structures on manifolds

DOI10.1007/BF02329729zbMath0531.57012MaRDI QIDQ788331

Boris N. Apanasov

Publication date: 1983

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

zbMATH Keywords

Kleinian groupshyperbolic manifoldsfundamental polyhedronhoroballsgeometrically finite structures

Mathematics Subject Classification ID

Related Items (11)

The geometry of Nielsen's hull for a Kleinian group in space and quasi- conformal mappings ⋮ Filling a space by polyhedra and deformation of incomplete hyperbolic structures ⋮ Infinite index subgroups and finiteness properties of intersections of geometrically finite groups ⋮ Discrete actions on nilpotent Lie groups and negatively curved spaces. ⋮ Quasiconformal homogeneity of hyperbolic manifolds ⋮ Relative hyperbolicity and relative quasiconvexity for countable groups. ⋮ Cusp ends of hyperbolic manifolds ⋮ Finite-volume hyperbolic 4-manifolds that share a fundamental polyhedron ⋮ On isomorphisms of geometrically finite Möbius groups ⋮ The effect of dimension four in Aleksandrov's problem of filling a space by polyhedra ⋮ Embeddability of noncompact hyperbolic manifolds as complements of codimension-1 and -2 submanifolds

Cites Work

• Geometrically finite groups of transformations of space
• Limit points of Kleinian groups and finite sided fundamental polyhedra
• Kleinian groups, Teichmüller space, and the rigidity theorem of Mostow
• Fundamental polyhedra for Kleinian groups
• Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• Elastic waves in rods and clad rods
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