Chaos in Cartan foliations

• DOI: 10.1063/5.0021596
• Publication Date: 2020-10-14T13:42:44Z
• Authors: Yaroslav V. Bazaikin; Anton S. Galaev; Nina I. Zhukova
• Keywords: Holonomy; Foliation (geology); Transversal (combinatorics); Cartan matrix; Manifold (fluid mechanics); Cartan subalgebra

Chaotic foliations generalize Devaney’s concept of chaos for dynamical systems. The property a foliation to be chaotic is transversal, i.e, depends on the structure leaf space foliation. transversal Cartan modeled manifold. problem investigating reduced corresponding their holonomy pseudogroups local automorphisms manifolds. For wide class, this its global group, which countable discrete subgroup Lie automorphism group an associated simply connected Several types that cannot are indicated. Examples constructed.