Infinitely many closed paths in the graph of Anosov flows

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Authors: Mario Shannon
Cited by: 0

Abstract

Abstract Given an Anosov flow on a closed 3‐manifold, we are interested in the problem of whether or not making non‐trivial Fried surgeries along a finite set of periodic orbits can produce a flow equivalent to itself. We show that for some suspension Anosov flows, there exist infinitely many pairs of periodic orbits satisfying ths property.

Fields of Study & Subjects

Mathematical Dynamics and Fractals

Publication details

Journal / source
Bulletin of the London Mathematical Society
Volume
58
Issue
5
Publication date
1 May 2026
Language
EN