Existence of the Ehresmann connection on a manifold foliated by the locally free action of a commutative Lie group
Abstract
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 C0(M)|L for a leaf L ⊂ 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.
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