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Complex Hyperbolic Geometry

  • Angel Cano
  • Juan Pablo Navarrete
  • José Seade
Chapter
Part of the Progress in Mathematics book series (PM, volume 303)

Abstract

In complex hyperbolic geometry we consider an open set biholomorphic to an open ball in Cn, and we equip it with a particular metric that makes it have constant negative holomorphic curvature. This is analogous to but different from the real hyperbolic space. In the complex case, the sectional curvature is constant on complex lines, but it changes when we consider real 2-planes which are not complex lines.

Keywords

Hyperbolic Space Discrete Subgroup Real Hypersurface Complex Line Hyperbolic Geometry 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Basel 2013

Authors and Affiliations

  • Angel Cano
    • 1
  • Juan Pablo Navarrete
    • 2
  • José Seade
    • 1
  1. 1.Instituto de MatemáticasUniversidad Nacional Autónoma de México Unidad CuernavacaCuernavacaMexico
  2. 2.Facultad de MatemáticasUniversidad Autónoma de YucatánMéridaMexico

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