Topological Molino's theory

2013/07/04 by López, Jesús A. Álvarez, Galicia, Manuel F. Moreira · 1 citation
#57R30 #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1307.1276

Abstract

Molino's description of Riemannian foliations on compact manifolds is generalized to the setting of compact equicontinuous foliated spaces, in the case where the leaves are dense. In particular, a structural local group is associated to such a foliated space. As an application, we obtain a partial generalization of results by Carrière and Breuillard-Gelander, relating the structural local group to the growth of the leaves.

Cited by

• Rigidity of Lie foliations with locally symmetric leaves

Related

• Molino's description and foliated homogeneity
• Topological description of Riemannian foliations with dense leaves
• A generalization of Molino's theory and equivariant basic Â-genus characters
• Equicontinuous foliated spaces
• Topological moduli space for germs of holomorphic foliations