A rigidity theorem for Henon maps

被引：6
|
作者：
Bera, Sayani [1 ]
Pal, Ratna [2 ]
Verma, Kaushal [3 ]
机构：
[1] Ramakrishna Mission Vivekananda Educ & Res Inst, Sch Math, PO Belur Math, Howrah 711202, W Bengal, India
[2] Indian Inst Sci Educ & Res, Dept Math, Pune 411008, Maharashtra, India
[3] Indian Inst Sci, Dept Math, Bangalore 560012, Karnataka, India
来源：
EUROPEAN JOURNAL OF MATHEMATICS | 2020年 / 6卷 / 02期
关键词：
Polynomial automorphisms; Henon maps; Rigidity; Non-escaping sets; Short C-2; Reinhardt domains; COMMUTING POLYNOMIAL AUTOMORPHISMS; JULIA SETS; DIFFEOMORPHISMS;
D O I：
10.1007/s40879-019-00326-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The purpose of this note is twofold. First, we study the relation between a pair of Henon 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.
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页码：508 / 532
页数：25
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