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Comptes Rendus Mathématique
Volume 334, n° 4
pages 321-323 (2002)
Doi : S1631-073X(02)02260-4
Received : 19 December 2001 ;  accepted : 7 January 2002
On manifolds supporting quasi-Anosov diffeomorphisms
Sur les variétés qui admettent des difféomorphismes de type quasi-Anosov
 

Jana Rodriguez Hertz , Raúl Ures , José L Vieitez
CC 30, IMERL - Facultad de Ingenierı́a, Universidad de la República, Montevideo, Uruguay 

Note presented by Etienne Ghys

Abstract

Let M be an n -dimensional manifold supporting a quasi-Anosov diffeomorphism. If n =3 then either M=T3, in which case the diffeomorphisms is Anosov, or else its fundamental group contains a copy of Z6. If n =4 then Π 1 (M ) contains a copy of Z4, provided that the diffeomorphism is not Anosov. To cite this article: J. Rodriguez Hertz et al., C. R. Acad. Sci. Paris, Ser. I 334 (2002) 321-323.

The full text of this article is available in PDF format.
Résumé

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=T3, et dans ce cas le difféomorphisme est en fait d'Anosov, ou bien le goupe fondamental de M contient une copie de Z6. Si n =4, alors Π 1 (M ) contient une copie de Z4, pourvu que le difféomorphisme ne soit pas d'Anosov. Pour citer cet article : J. Rodriguez Hertz et al., C. R. Acad. Sci. Paris, Ser. I 334 (2002) 321-323.

The full text of this article is available in PDF format.

 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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