Affine Anosov Diffeomorphims of Affine Manifolds | Zendy

Aristide Tsemo | Zendy

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Affine Anosov Diffeomorphims of Affine Manifolds

Author(s) -

Aristide Tsemo

Publication year - 2008

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2008/673534

Subject(s) - mathematics , affine transformation , affine coordinate system , affine hull , pure mathematics , affine combination , affine group , affine plane (incidence geometry) , affine geometry of curves , affine geometry , affine representation , conjecture , manifold (fluid mechanics) , affine space , algebra over a field , mechanical engineering , current algebra , plane curve , affine lie algebra , engineering

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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