Mathematics – Differential Geometry
Scientific paper
2009-10-15
Mathematics
Differential Geometry
28 pages, 2 figures. Fully revised presentation of the paper. Accepted in Revista Matematica Complutense. The final publicatio
Scientific paper
We introduce the concept of solenoid as an abstract laminated space. We do a
thorough study of solenoids, leading to the notion of ergodic and uniquely
ergodic solenoids. We define generalized currents associated with immersions of
oriented solenoids with a transversal measure into smooth manifolds,
generalizing Ruelle-Sullivan currents.
Muñoz Vicente
Pérez-Marco Ricardo
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