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Construction of the holonomy invariant foliated cocycles on the tangent bundle via formal integrability
Turkish Journal of Mathematics
This paper is dedicated to exhaustive structural analysis of the holonomy invariant foliated cocycles on the tangent bundle of an arbitrary (m + n) -dimensional manifold. For this purpose, by applying Spencer theory of formal integrability, sufficient conditions for the metric associated with the semispray S are determined to extend to a transverse metric for the lifted foliated cocycle on T M . Accordingly, this geometric structure converts to a holonomy invariant foliated cocycle on thedoi:10.3906/mat-1705-19 fatcat:uy5t453tkjbrvgxdhudm4cvxpe