SYMMETRIC RIGIDITY FOR CIRCLE ENDOMORPHISMS HAVING BOUNDED GEOMETRY

被引：0

作者：

Adamski, John ^{[1
]}

Hu, Yunchun ^{[2
]}

Jiang, Yunping ^{[3
,4
]}

Wang, Zhe ^{[2
]}

机构：

[1] Fordham Univ, Dept Math, 441 E Fordham Rd, Bronx, NY 10458 USA

[2] CUNY, Dept Math & Comp Sci, Bronx Community Coll, 2155 Univ Ave, Bronx, NY 10453 USA

[3] CUNY Queens Coll, Dept Math, 65-30 Kissena Blvd, Flushing, NY 11367 USA

[4] CUNY, Grad Ctr, PhD Program Math, 365 Fifth Ave, New York, NY 10016 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2022年 / 150卷 / 08期

关键词：

Circle endomorphism having bounded geometry; symmetric circle homeomorphism; uniformly quasisymmetric circle endomorphism; uniformly symmetric circle endomorphism; the Lebesgue measure;

D O I：

10.1090/proc/15921

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let f and g be two circle endomorphisms of degree d >= 2 such that each has bounded geometry, preserves the Lebesgue measure, and fixes 1. Let h fixing 1 be the topological conjugacy from f to g. That is, h circle f = g circle h. We prove that h is a symmetric circle homeomorphism if and only if h = Id.

引用

页码：3581 / 3593

页数：13

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