On cusp regions associated to screw-parabolic maps

DOI10.1007/s10711-017-0241-1zbMath1477.22006OpenAlexW2604486591MaRDI QIDQ684217

John R. Parker

Publication date: 9 February 2018

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-017-0241-1

zbMATH Keywords

Margulis regionscrew parabolic mapsub-horospherical region

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items (1)

Shimizu's lemma for quaternionic hyperbolic space

Cites Work

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• On discontinuous subgroups with parabolic transformations of the Möbius groups
• Möbius transformations in several dimensions
• Uniform discreteness and Heisenberg screw motions
• Shimizu's lemma for quaternionic hyperbolic space
• A discreteness criterion for subgroups of \({\mathbf{PU}(2,1)}\) with screw parabolic elements
• On Margulis cusps of hyperbolic \(4\)-manifolds
• A discreteness criterion for groups containing parabolic isometries
• Discrete subgroups of PU(2, 1) with screw parabolic elements

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