An extension of the Maskit slice for 4-dimensional Kleinian groups

DOI10.1090/S1088-4173-08-00187-2zbMath1198.30042arXiv0707.2427MaRDI QIDQ3559524

Kentaro Ito, Yoshiaki Araki

Publication date: 6 May 2010

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.2427

zbMATH Keywords

Kleinian groupsMaskit slice

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items (2)

Unnamed Item ⋮ On limit sets of 4-dimensional Kleinian groups with 3 generators

Cites Work

• The classification of punctured-torus groups
• Pleating coordinates for the Maskit embedding of the Teichmüller space of punctured tori
• Tubular neighborhood of totally geodesic hypersurfaces in hyperbolic manifolds
• An exposition of Poincaré's polyhedron theorem
• Conformal geometry of discrete groups and manifolds
• Horocyclic Coordinates for Riemann Surfaces and Moduli Spaces. I: Teichmuller and Riemann Spaces of Kleinian Groups
• On the classification of quaternionic Möbius transformations
• Hyperbolic manifolds and discrete groups
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