Dirichlet polyhedra for parabolic cyclic groups in complex hyperbolic space

DOI10.1007/BF01263481zbMath0835.22012MaRDI QIDQ1900095

John R. Parker

Publication date: 8 April 1996

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

zbMATH Keywords

complex hyperbolic spaceprojective unitary groupDirichlet fundamental domainellipto-parabolic isometrySiegel domain model

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Discrete subgroups of Lie groups (22E40) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45)

Cites Work

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• Dirichlet regions in manifolds without conjugate points
• On a remarkable class of polyhedra in complex hyperbolic space
• Dirichlet polyhedra for dihedral groups acting on complex hyperbolic space
• Geometrical finiteness with variable negative curvature
• Dirichlet Polyhedra for Cyclic Groups in Complex Hyperbolic Space

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