Generalized isometric spheres and fundamental domains for discrete subgroups of \(\operatorname{PU}(1,n;\mathbb C)\)

DOI10.3792/PJAA.79.105zbMath1125.32301OpenAlexW1993138537MaRDI QIDQ1424025

Shigeyasu Kamiya

Publication date: 8 March 2004

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1116443679

zbMATH Keywords

complex hyperbolic spacefundamental domainsDirichlet polyhedrongeneralization of Ford domain

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items (1)

Ford fundamental domains in symmetric spaces of rank one

Cites Work

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• Notes on elements of U(1,n;\({\mathbb{C}})\)
• On Discrete Subgroups of PU(1,2;C ) with Heisenberg Translations
• Dirichlet Polyhedra for Cyclic Groups in Complex Hyperbolic Space
• SHIMIZU’S LEMMA FOR COMPLEX HYPERBOLIC SPACE
• On Ford isometric spheres in complex hyperbolic space

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