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...
Main Authors: | , |
---|---|
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 |