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Non-Discrete Complex Hyperbolic Triangle Groups of Type $(n,n, \infty;k)$

  Published:2011-05-17
 Printed: Jun 2012
  • Shigeyasu Kamiya,
    Okayama University of Science, 1-1 Ridai-cho, Okayama 700-0005, Japan
  • John R. Parker,
    University of Durham, South Road, Durham DH1 3LE UK
  • James M. Thompson,
    University of Durham, South Road, Durham DH1 3LE UK
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Abstract

A complex hyperbolic triangle group is a group generated by three involutions fixing complex lines in complex hyperbolic space. Our purpose in this paper is to improve a previous result and to discuss discreteness of complex hyperbolic triangle groups of type $(n,n,\infty;k)$.
Keywords: complex hyperbolic triangle group complex hyperbolic triangle group
MSC Classifications: 51M10, 32M15, 53C55, 53C35 show english descriptions Hyperbolic and elliptic geometries (general) and generalizations
Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras [See also 22E10, 22E40, 53C35, 57T15]
Hermitian and Kahlerian manifolds [See also 32Cxx]
Symmetric spaces [See also 32M15, 57T15]
51M10 - Hyperbolic and elliptic geometries (general) and generalizations
32M15 - Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras [See also 22E10, 22E40, 53C35, 57T15]
53C55 - Hermitian and Kahlerian manifolds [See also 32Cxx]
53C35 - Symmetric spaces [See also 32M15, 57T15]
 

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