Existence of the Ehresmann connection on a manifold foliated by the locally free action of a commutative Lie group

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73086In 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 Schrödinger operators related to the leaves of the foliation.is not well written and completely unreadable without a detailed knowledge of the older literatureDifferential Geometry53C12; 37C85; 57R30; 58J50Existence of the Ehresmann connection on a manifold foliated by the locally free action of a commutative Lie grouptext