no. 4
Dynamical Systems
Backward volume contraction for endomorphisms with eventual volume expansion
[Contraction en arrière pour des endomorphisms en expansion]

Présenté par : Jean-Christophe Yoccoz

Alves, José F.1 ; Castro, Armando2 ; Pinheiro, Vilton2
1 Centro de Matemática da Universidade do Porto, Rua do Campo Alegre 687, 4169-007 Porto, Portugal
2 Departamento de Matemática, Universidade Federal da Bahia, Av. Ademar de Barros s/n, 40170-110 Salvador, Brazil
Comptes Rendus. Mathématique, Tome 342 (2006) no. 4, pp. 259-262.

Nous considérons des transformations différentiables sur des varietés Riemannienes compactes. Nous montrons que dans une certaine condition modérée d'expansion de volume nous pouvons déduire que pour Lebesgue presque chaque point nous avons contraction uniforme de volume en arrière de chaque pré-orbite.

We consider smooth maps on compact Riemannian manifolds. We prove that under some mild condition of eventual volume expansion Lebesgue almost everywhere we have uniform backward volume contraction on every pre-orbit of Lebesgue almost every point.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2005.11.024
Alves, José F. 1 ; Castro, Armando 2 ; Pinheiro, Vilton 2

1 Centro de Matemática da Universidade do Porto, Rua do Campo Alegre 687, 4169-007 Porto, Portugal
2 Departamento de Matemática, Universidade Federal da Bahia, Av. Ademar de Barros s/n, 40170-110 Salvador, Brazil 
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Alves, José F.; Castro, Armando; Pinheiro, Vilton. Backward volume contraction for endomorphisms with eventual volume expansion. Comptes Rendus. Mathématique, Tome 342 (2006) no. 4, pp. 259-262. doi : 10.1016/j.crma.2005.11.024. http://www.numdam.org/articles/10.1016/j.crma.2005.11.024/

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Cité par Sources :

⁎ Work carried out at the Federal University of Bahia. Partially supported by FCT through CMUP and UFBA.