English

Comparison of Limit Sets for the Action of Kleinian Groups in $\mathbb{C}P^n$

Dynamical Systems 2021-08-24 v1

Abstract

We compare different notions of limit sets for the action of Kleinian groups on the nn-dimensional projective space via the irreducible representation ϱ:PSL(2,C)PSL(n+1,C).\varrho:PSL(2,\mathbb{C})\to PSL(n+1,\mathbb{C}). In particular, we prove that if the Kleinian group is convex-cocompact, the Myrberg and the Kulkarni limit coincide.

Keywords

Cite

@article{arxiv.2108.09791,
  title  = {Comparison of Limit Sets for the Action of Kleinian Groups in $\mathbb{C}P^n$},
  author = {Alejandro Ucan-Puc and Jose Seade},
  journal= {arXiv preprint arXiv:2108.09791},
  year   = {2021}
}