  In this paper the author determines necessary and sufficient conditions for
existence of the Ehresmann connection on a manifold foliated by locally free
action of the commutative Lie group. Also here we describe structure of
$C_0(M)|_L$ for a leaf $L \subset M$ in case such a connection exists. Finally
we give some results on structure of the spectrum of the family of
Schr\"odinger operators related to the leaves of the foliation.
