On singular Finsler foliation
  In this paper we introduce the concept of singular Finsler foliation, which
generalizes the concepts of Finsler actions, Finsler submersions and (regular)
Finsler foliations. We show that if $\mathcal{F}$ is a singular Finsler
foliation on a Randers manifold $(M,Z)$ with Zermelo data $(\mathtt{h},W),$
then $\mathcal{F}$ is a singular Riemannian foliation on the Riemannian
manifold $(M,\mathtt{h} )$. As a direct consequence we infer that the regular
leaves are equifocal submanifolds (a generalization of isoparametric
submanifolds) when the wind $W$ is an infinitesimal homothety of $\mathtt{h}$
(e.,g when $W$ is killing vector field or $M$ has constant Finsler curvature).
We also present a slice theorem that relates local singular Finsler
foliations on Finsler manifolds with singular Finsler foliations on Minkowski
spaces.
