Anosov automorphisms on certain classes of nilmanifolds
classification
🧮 math.DS
math.DG
keywords
anosovautomorphismsnilmanifoldsstepcertainclassesadmitassociated
read the original abstract
We give a necessary and sufficient condition for $k$-step nilmanifolds associated with graphs $(k \geq 3)$ to admit Anosov automorphisms. We also prove nonexistence of Anosov automorphisms on certain classes of 2-step and 3-step nilmanifolds.
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