Reversing orientation homeomorphisms of surfaces

Let $M$ be a connected compact orientable surface, $f:M\to \mathbb{R}$ be a Morse function, and $h:M\to M$ be a diffeomorphism which preserves $f$ in the sense that $f\circ h = f$. We will show that if $h$ leaves invariant each regular component of each level set of $f$ and reverses its orientation...

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Bibliographic Details
Main Authors: Iryna Kuznietsova, Sergiy Maksymenko
Format: Article
Language:English
Published: Odesa National University of Technology 2021-03-01
Series:Pracì Mìžnarodnogo Geometričnogo Centru
Subjects:
Online Access:https://journals.onaft.edu.ua/index.php/geometry/article/view/1953