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$C^1$-Diffeomorphism Class of some Circle Maps with a Flat Interval by Ndawa, Bertuel Tangue; Ogouyandjou, Carlos is a scholarly article available to read on EtoBox.

What is $C^1$-Diffeomorphism Class of some Circle Maps with a Flat Interval about?

We study a certain class circle maps which are constant on one interval (called flat piece), and such that the degrees of the singularities at the boundary of the flat piece are different. In this paper, we show that if the topological conjugacy between two maps of my class is a bi-Lipschitz homeomorphism, then it is a $C^1$ diffeomorphism; that is, the bi-Lipschitz homeomorphism class and $C^1$ diffeomorphism class of a map in our class are equivalent.

Author

Ndawa, Bertuel Tangue; Ogouyandjou, Carlos

Published

2024

Language

EN