On `A characterization of R-Fuchsian groups acting on the complex hyperbolic plane'

TL;DR

This paper presents a counter-example to a known characterization of R-Fuchsian groups acting on the complex hyperbolic plane and establishes a stronger related result.

Contribution

It provides a counter-example to a previously claimed characterization and proves a more robust theorem regarding R-Fuchsian groups.

Findings

Counter-example to the previous characterization

A stronger theorem on R-Fuchsian groups

Clarification of the conditions for R-Fuchsian groups

Abstract

We indicate a C-Fuchsian counter-example to the result with the above title announced at http://www.maths.dur.ac.uk/events/Meetings/LMS/2011/GAL11/program.pdf and prove a stronger statement.