SYMMETRIC RIGIDITY FOR CIRCLE ENDOMORPHISMS HAVING BOUNDED GEOMETRY

SYMMETRIC RIGIDITY FOR CIRCLE ENDOMORPHISMS HAVING BOUNDED GEOMETRY

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 o f = g o h. We prove that h is a symmetric circle homeomorphism if and only if h = Id. © 2022...

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Bibliographic Details
Main Authors: Adamski, J. (Author), Hu, Y. (Author), Jiang, Y. (Author), Wang, Z. (Author)
Format: Article
Language:English
Published: American Mathematical Society 2022
Subjects:
Circle endomorphism having bounded geometry
symmetric circle homeomorphism
the Lebesgue measure
uniformly quasisymmetric circle endomorphism
uniformly symmetric circle endomorphism
Online Access:View Fulltext in Publisher
Description
Summary: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 o f = g o h. We prove that h is a symmetric circle homeomorphism if and only if h = Id. © 2022 American Mathematical Society.
ISBN:00029939 (ISSN)
DOI:10.1090/proc/15921

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