Dirichlet polyhedra for dihedral groups acting on complex hyperbolic space

DOI10.1007/BF02921576zbMath0762.51009MaRDI QIDQ1203501

William M. Goldman, John R. Parker

Publication date: 10 February 1993

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

Heisenberg groupgeodesicsbisectortotally geodesic submanifoldcomplex geodesicsdihedral groupscomplex hyperbolic spaceDirichlet polyhedron

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Geodesics in global differential geometry (53C22) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items (19)

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Cites Work

• Manifolds of nonpositive curvature
• On a remarkable class of polyhedra in complex hyperbolic space
• Sur le groupe de la géométrie hyperspherique
• Dirichlet Polyhedra for Cyclic Groups in Complex Hyperbolic Space
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