Abstract
We give a necessary and sufficient condition for k-step nilmanifolds associated with graphs (k ≥ 3) to admit Anosov automorphisms. We also prove the nonexistence of Anosov automorphisms on certain classes of 2-step and 3-step nilmanifolds.
| Original language | English |
|---|---|
| Pages (from-to) | 161-170 |
| Number of pages | 10 |
| Journal | Glasgow Mathematical Journal |
| Volume | 48 |
| Issue number | 1 |
| DOIs | |
| State | Published - Feb 2006 |