Anosov automorphisms on certain classes of nilmanifolds

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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Bibliographic Details
Published in:arXiv.org 2006-06
Main Author: Mainkar, Meera G
Format: Article
Language:English
Online Access:Get full text
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Summary: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.
ISSN:2331-8422