June  2009, 2(2): 349-360. doi: 10.3934/dcdss.2009.2.349

Note on homology of expanding foliations

1. 

Centre de Recerca Matematica, Apartat 50, Bellaterra, Barcelona, 08193, Spain

Received  November 2007 Revised  June 2008 Published  April 2009

This note contains some remarks about the homologies that can be associated to a foliation which is invariant and uniformly expanded by a diffeomorphism. We construct a family of 'dynamical' closed currents supported on the foliation which help us relate the geometric volume growth of the leaves under the diffeomorphism with the map induced on homology in the case when these currents have nonzero homology.
Citation: Radu Saghin. Note on homology of expanding foliations. Discrete & Continuous Dynamical Systems - S, 2009, 2 (2) : 349-360. doi: 10.3934/dcdss.2009.2.349
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