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Title: | A rigidity theorem for Hénon maps |
Authors: | Bera, Sayani PAL, RATNA Verma, Kaushal Dept. of Mathematics |
Keywords: | Polynomial automorphisms Hénon maps Rigidity Non-escaping sets Short C2C2 Reinhardt domains 2019 |
Issue Date: | Mar-2019 |
Publisher: | Springer Nature |
Citation: | European Journal of Mathematics, 6, 508–532. |
Abstract: | The purpose of this note is twofold. First, we study the relation between a pair of Hénon maps that share the same forward and backward non-escaping sets. Second, it is shown that there exists a continuum of ShortC2’s that are biholomorphically inequivalent and finally, we provide examples of ShortC2 that are neither Reinhardt nor biholomorphic to Reinhardt domains. |
URI: | https://doi.org/10.1007/s40879-019-00326-7 http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7033 |
ISSN: | 2199-6768 2199-675X |
Appears in Collections: | JOURNAL ARTICLES |
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