Abstract
Given a symmetric Finsler metric on $$ \mathbb{T}^2 $$ whose geodesic flow has zero topological entropy, we show that the lift in the universal covering ℝ2 → $$ \mathbb{T}^2 $$ of any closed geodesic on $$ \mathbb{T}^2 $$ must be an embedded curve in ℝ2.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have