"Primary characteristic homomorphism of pairs of Lie algebroids and Mackenzie algebroid"

Lie Algebroids and Related Topics in Differential Geometry, Banach Center Publicationes, Volume 54, 71-97, IMPAN Warszawa 2001.
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Connections for a pair of Lie algebroids are defined as linear homomorphisms between these Lie algebroids, commuting with the anchors. Primary characteristic homomorphism of a pair of Lie algebroids is defined and compared with other known Chern-Weil homomorphisms.