arXiv:1806.08189 Abstract | arXiv Analytics

arXiv:1806.08189 [math.DS]Abstract References Reviews Resources

A rigidity theorem for Hénon maps

Published 2018-06-21Version 1

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.

Comments: 19 pages

Categories: math.DS, math.CV

Subjects: 32H02, 32H50

Keywords: hénon maps, rigidity theorem, reinhardt domains, backward non-escaping sets, biholomorphically inequivalent

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