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arXiv · 1806.08189

A rigidity theorem for H\'{e}non maps

Sayani Bera·Ratna Pal·Kaushal Verma
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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 $Short-\mathbb{C}^2$'s that are biholomorphically inequivalent and finally, we provide examples of $Short-\mathbb{C}^2$'s that are neither Reinhardt nor biholomorphic to Reinhardt domains.

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Sayani Bera, Ratna Pal, Kaushal Verma. 2018-06-21. A rigidity theorem for H\'{e}non maps. https://arxiv.org/abs/1806.08189

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