Foliations and subshifts
Copyright policy )Foliations and subshifts
Local minimal sets (LMS) play an important role in the structure theory of compact, \(C^ 2\)-foliated manifolds of codimension one. A major gap in the theory concerns what are called exceptional LMS. For the case of Markov LMS, the following result is obtained: If X is a Markov LMS, then X contains only finitely many semiproper leaves and Lebesgue measure \(| X| =0\). The authors also give examples of LMS that are not Markov.
- Washington State University United States
58F18, Vector distributions (subbundles of the tangent bundles), Dynamics induced by group actions other than \(\mathbb{Z}\) and \(\mathbb{R}\), and \(\mathbb{C}\), Markov set, 57R30, foliated manifolds, Local minimal sets
58F18, Vector distributions (subbundles of the tangent bundles), Dynamics induced by group actions other than \(\mathbb{Z}\) and \(\mathbb{R}\), and \(\mathbb{C}\), Markov set, 57R30, foliated manifolds, Local minimal sets
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