Commuting isometries of the complex hyperbolic space

DOI10.1090/S0002-9939-2011-10796-2zbMath1230.51022arXiv1002.2479MaRDI QIDQ3092857

Wensheng Cao, Krishnendu Gongopadhyay

Publication date: 11 October 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.2479

zbMATH Keywords

isometrycentralizerunitary groupscomplex hyperbolic space

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Hyperbolic groups and nonpositively curved groups (20F67) Other geometric groups, including crystallographic groups (20H15) Orthogonal and unitary groups in metric geometry (51F25)

Related Items (8)

\(z\)-classes in the mapping class group ⋮ On Fenchel–Nielsen Coordinates of Surface Group Representations into SU(3,1) ⋮ Algebraic characterization of isometries of the hyperbolic 4-space ⋮ Algebraic characterization of isometries of the complex and the quaternionic hyperbolic planes ⋮ Conjugacy classes of centralizers in unitary groups ⋮ Special elliptic isometries, relative \(\mathrm{SU}(2,1)\)-character varieties, and bendings ⋮ \(z\)-classes in groups: a survey ⋮ Classification of quaternionic hyperbolic isometries

Cites Work

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• Discrete subgroups of complex hyperbolic motions
• On the volumes of cusped, complex hyperbolic manifolds and orbifolds
• Discrete subgroups of convergence type of U(1,n;C)
• 𝑧-classes of isometries of the hyperbolic space

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