English

A 2-dimensional Complex Kleinian Group With Infinite Lines in the Limit Set Lying in General Position

Dynamical Systems 2016-04-20 v2 Complex Variables

Abstract

In this article we present an example of a discrete group Σ\CPSL(3,R)\Sigma_\C\subset PSL(3,\Bbb{R}) whose action on 2\P^2 does no have invariant projective subspaces, is not conjugated to complex hyperbolic group and its limit set in the sense of Kulkarni on PC2\Bbb{P}^2_\Bbb{C} has infinite lines in general position.

Cite

@article{arxiv.1003.0380,
  title  = {A 2-dimensional Complex Kleinian Group With Infinite Lines in the Limit Set Lying in General Position},
  author = {Waldemar Barrera and Angel Cano and Juan Pablo Navarrete},
  journal= {arXiv preprint arXiv:1003.0380},
  year   = {2016}
}

Comments

This paper has been withdrawn by the author due to a crucial sign error

R2 v1 2026-06-21T14:52:29.528Z