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Construction of the holonomy invariant foliated cocycles on the tangent bundle via formal integrability
2019
Turkish Journal of Mathematics
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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 the
doi:10.3906/mat-1705-19
fatcat:uy5t453tkjbrvgxdhudm4cvxpe