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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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2008-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2008/673534 |
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| _version_ | 1841524740991221760 |
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| author | Aristide Tsemo |
| author_facet | Aristide Tsemo |
| author_sort | Aristide Tsemo |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-a6fe3b2e000a48fe8dc7fbafaf49acad |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-a6fe3b2e000a48fe8dc7fbafaf49acad2025-02-03T05:47:32ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252008-01-01200810.1155/2008/673534673534Affine Anosov Diffeomorphims of Affine ManifoldsAristide Tsemo0Department of Mathematics, Collège Boréal, Campus de Toronto, 951 Carlaw avenue, Toronto, ON, M4K 3M2, CanadaWe 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.http://dx.doi.org/10.1155/2008/673534 |
| spellingShingle | Aristide Tsemo Affine Anosov Diffeomorphims of Affine Manifolds International Journal of Mathematics and Mathematical Sciences |
| title | Affine Anosov Diffeomorphims of Affine Manifolds |
| title_full | Affine Anosov Diffeomorphims of Affine Manifolds |
| title_fullStr | Affine Anosov Diffeomorphims of Affine Manifolds |
| title_full_unstemmed | Affine Anosov Diffeomorphims of Affine Manifolds |
| title_short | Affine Anosov Diffeomorphims of Affine Manifolds |
| title_sort | affine anosov diffeomorphims of affine manifolds |
| url | http://dx.doi.org/10.1155/2008/673534 |
| work_keys_str_mv | AT aristidetsemo affineanosovdiffeomorphimsofaffinemanifolds |