ON FINSLER ENTROPY OF SMOOTH DISTRIBUTIONS AND STEFAN-SUSSMAN FOLIATIONSReport as inadecuate




ON FINSLER ENTROPY OF SMOOTH DISTRIBUTIONS AND STEFAN-SUSSMAN FOLIATIONS - Download this document for free, or read online. Document in PDF available to download.

1 Département de dermatologie

Abstract : Using the definition of entropy of a family of increasing distances on a compact metric set given in 10 we introduce a notion of Finsler entropy for smooth distributions and Stefan-Sussmann foliations. This concept generalizes most of classical topological entropy on a compact Riemannian manifold : the entropy of a flow 9, of a regular foliation 11, of a regular distribution 5 and of a geometrical structure 22. The essential results of this paper is the nullity of the Finsler entropy for a controllable distribution and for a singular Riemannian foliation.





Author: F Pelletier -

Source: https://hal.archives-ouvertes.fr/



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