Anosov diffeomorphisms of open surfaces

Autor: Ovadia, Snir Ben, DeWitt, Jonathan
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: We study the existence of Anosov diffeomorphisms on complete open surfaces. We show that under the assumptions of density of periodic points and uniform geometry that such diffeomorphisms have a system of Margulis measures, which are a holonomy invariant and dynamically invariant system of measures along the stable and unstable leaves. This shows that there can be no such diffeomorphism with a global product structure.
Databáze: arXiv