A rigidity theorem for H\'{e}non maps
Dynamical Systems
2018-06-22 v1 Complex Variables
Abstract
The purpose of this note is two fold. First, we study the relation between a pair of H\'{e}non maps that share the same forward and backward non-escaping sets. Second, it is shown that there exists a continuum of 's that are biholomorphically inequivalent and finally, we provide examples of 's that are neither Reinhardt nor biholomorphic to Reinhardt domains.
Cite
@article{arxiv.1806.08189,
title = {A rigidity theorem for H\'{e}non maps},
author = {Sayani Bera and Ratna Pal and Kaushal Verma},
journal= {arXiv preprint arXiv:1806.08189},
year = {2018}
}
Comments
19 pages