English

Anosov automorphisms on certain classes of nilmanifolds

Dynamical Systems 2007-05-23 v1 Differential Geometry

Abstract

We give a necessary and sufficient condition for kk-step nilmanifolds associated with graphs (k3)(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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Cite

@article{arxiv.math/0606235,
  title  = {Anosov automorphisms on certain classes of nilmanifolds},
  author = {Meera G. Mainkar},
  journal= {arXiv preprint arXiv:math/0606235},
  year   = {2007}
}

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16 pages