Comptes Rendus
On manifolds supporting quasi-Anosov diffeomorphisms
[Sur les variétés qui admettent des difféomorphismes de type quasi-Anosov]
Comptes Rendus. Mathématique, Volume 334 (2002) no. 4, pp. 321-323.

Soit M une variété différentiable de dimension n qui admet un difféomorphisme de type quasi-Anosov. Si n=3 alors on a l'altenative suivante, ou bien M=𝕋 3 , et dans ce cas le difféomorphisme est en fait d'Anosov, ou bien le goupe fondamental de M contient une copie de 6 . Si n=4, alors Π1(M) contient une copie de 4 , pourvu que le difféomorphisme ne soit pas d'Anosov.

Let M be an n-dimensional manifold supporting a quasi-Anosov diffeomorphism. If n=3 then either M=𝕋 3 , in which case the diffeomorphisms is Anosov, or else its fundamental group contains a copy of 6 . If n=4 then Π1(M) contains a copy of 4 , provided that the diffeomorphism is not Anosov.

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DOI : 10.1016/S1631-073X(02)02260-4

Jana Rodriguez Hertz 1 ; Raúl Ures 1 ; José L. Vieitez 1

1 CC 30, IMERL – Facultad de Ingenierı́a, Universidad de la República, Montevideo, Uruguay
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Jana Rodriguez Hertz; Raúl Ures; José L. Vieitez. On manifolds supporting quasi-Anosov diffeomorphisms. Comptes Rendus. Mathématique, Volume 334 (2002) no. 4, pp. 321-323. doi : 10.1016/S1631-073X(02)02260-4. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02260-4/

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The first author was partially supported by a grant from PEDECIBA. The second author was partially supported by CONICYT, Fondo Clemente Estable.

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