Affine Anosov Diffeomorphims of Affine Manifolds
We show that a compact affine manifold endowed with an affine Anosov transformation is finitely covered by a complete affine nilmanifold. This is a partial answer of a conjecture of Franks for affine manifolds.
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| Veröffentlicht in: | International Journal of Mathematics and Mathematical Sciences 2008, Vol.2008 (1), p.712-716 |
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| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We show that a compact affine manifold endowed with an affine Anosov transformation is finitely covered by a complete affine nilmanifold. This is a partial answer of a conjecture of Franks for affine manifolds. |
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| ISSN: | 0161-1712 1687-0425 |
| DOI: | 10.1155/2008/673534 |