Abstract
In this paper we show that the geodesic flow in a Hedlund-type metric on the 3-torus possesses the shadowing property. This implies, in particular, that any rotation vector is represented by a geodesic, a fact that in the two-dimensional case is given by the Aubry-Mather theory, while in the higher-dimensional case is still unknown.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 187-203 |
| Number of pages | 17 |
| Journal | Ergodic Theory and Dynamical Systems |
| Volume | 17 |
| Issue number | 1 |
| DOIs | |
| State | Published - Feb 1997 |
All Science Journal Classification (ASJC) codes
- General Mathematics
- Applied Mathematics
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