English

Polar actions on the complex hyperbolic plane

Differential Geometry 2011-08-03 v1

Abstract

We classify the polar actions on the complex hyperbolic plane up to orbit equivalence. Apart from the trivial and transitive polar actions, there are five polar actions of cohomogeneity one and four polar actions of cohomogeneity two.

Cite

@article{arxiv.1108.0543,
  title  = {Polar actions on the complex hyperbolic plane},
  author = {Jurgen Berndt and J. Carlos Diaz-Ramos},
  journal= {arXiv preprint arXiv:1108.0543},
  year   = {2011}
}
R2 v1 2026-06-21T18:45:18.991Z