Graph manifolds that admit arbitrarily many Anosov flows

期刊论文
出版模式：

开放获取
发表日期：

2024年12月3日

查看全文

Adam Clay,
Tali Pinsky

摘要

For each natural number n, we construct an example of a graph manifold supporting at least n different Anosov flows that are not orbit equivalent. Our construction is reminiscent of the Thurston-Handel construction [11]: we cut a geodesic flow on a surface of constant negative curvature into two pieces, modify the flow in each piece by pulling back to finite covers, and glue together compatible pairs of pullback flows along their boundary tori to get many distinct flows on the resulting graph manifold.