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Polar actions on the complex hyperbolic plane

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Abstract

We classify the polar actions on the complex hyperbolic plane \({\mathbb{C} H^2}\) up to orbit equivalence. Apart from the trivial and transitive polar actions, there are five polar actions of cohomogeneity 1 and four polar actions of cohomogeneity 2.

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Authors and Affiliations

  1. Department of Mathematics, King’s College London, London, UK

    Jürgen Berndt

  2. Department of Geometry and Topology, University of Santiago de Compostela, Santiago, Spain

    José Carlos Díaz-Ramos

Authors
  1. Jürgen Berndt
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  2. José Carlos Díaz-Ramos
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Correspondence to José Carlos Díaz-Ramos.

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Berndt, J., Díaz-Ramos, J.C. Polar actions on the complex hyperbolic plane. Ann Glob Anal Geom 43, 99–106 (2013). https://doi.org/10.1007/s10455-012-9335-z

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  • DOI: https://doi.org/10.1007/s10455-012-9335-z

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