TY  - JOUR
ID  - Michalik2016
LB  - Michalik2016
AU  - Michalik, Ilona
AU  - Walczak, Szymon
TI  - Entropy of foliations with leafwise Finsler structure
ST  - Entropy of foliations with leafwise Finsler structure
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2016
VL  - 36
IS  - 4
SP  - 499
EP  - 512
DO  - http://dx.doi.org/10.7494/OpMath.2016.36.4.499
UR  - http://dx.doi.org/10.7494/OpMath.2016.36.4.499
AB  - 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 a foliated manifold with leafwise Randers structure is considered. In this case the estimates for one dimensional foliation defined by a vector field in terms of the topological entropy of a flow are presented.
KW  - geometric entropy
KW  - leafwise Finsler structure
SN  - 1232-9274
ER  -