New Classes of Quasigeodesic Anosov Flows in $3$-Manifolds

Autor:	Chanda, Anindya, Fenley, Sergio
Rok vydání:	2022
Předmět:	Mathematics - Dynamical Systems 57R30 37E10 37D20 37C85 53C12 37C27 37D05 37C86
Druh dokumentu:	Working Paper
Popis:	Quasigeodesic behavior of flow lines is a very useful property in the study of Anosov flows. Not every Anosov flow in dimension three is quasigeodesic. In fact up to orbit equivalence, the only previously known examples of quasigeodesic Anosov flows were suspension flows. In this article, we prove that a new class of examples are quasigeodesic. These are the first examples of quasigeodesic Anosov flows on three manifolds that are neither Seifert, nor solvable, nor hyperbolic. In general, it is very hard to show that a given flow in quasigeodesic, and in this article we provide a new method to prove that an Anosov flow is quasigeodesic. Comment: 35 pages; 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2211.12679 Zobrazit plný text záznamu View this record from Arxiv