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arXiv · 1410.0829

Entropy of foliations with leafwise Finsler structure

Ilona Michalik·Szymon M. Walczak
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Abstract

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.

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Ilona Michalik, Szymon M. Walczak. 2015-01-29. Entropy of foliations with leafwise Finsler structure. https://arxiv.org/abs/1410.0829

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