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Dirac pairs on Jacobi algebroids

Published 7 Dec 2021 in math.DG and math.SG | (2112.03495v1)

Abstract: We define Dirac pairs on Jacobi algebroids, which is a generalization of Dirac pairs on Lie algebroids introduced by Kosmann-Schwarzbach. We show the relationship between Dirac pairs on Lie and on Jacobi algebroids, and that Dirac pairs on Jacobi algebroids characterize several compatible structures on manifolds or on Jacobi algebroids.

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