Entropy of foliations with leafwise Finsler structure

We extend the notion of the geometric entropy of foliation to foliated manifolds equipped with leafwise Finsler structure. We study the relation between the geometric entropy and the topological entropy of the holonomy pseudogroup. The case of foliated manifold with leafwise Randers structure. In th...

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Bibliographic Details
Main Authors Michalik, Ilona, Walczak, Szymon M
Format Journal Article
LanguageEnglish
Published 03.10.2014
Subjects
Mathematics - Differential Geometry
Mathematics - Dynamical Systems
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Summary:We extend the notion of the geometric entropy of foliation to foliated manifolds equipped with leafwise Finsler structure. We study the relation between the geometric entropy and the topological entropy of the holonomy pseudogroup. The case of foliated manifold with leafwise Randers structure. In this case the estimates for one dimensional foliation defined by a vector field in term of topological entropy of a flow are presented.
DOI:10.48550/arxiv.1410.0829