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math.DG2000
Lie Algebroids, Holonomy and Characteristic Classes
Rui Loja Fernandes
We extend the notion of connection in order to be able to study singular geometric structures, namely, we consider a notion of connection on a Lie algebroid which is a natural exte…
math.DG2000
Connections in Poisson Geometry I: Holonomy and Invariants
Rui Loja Fernandes
We discuss contravariant connections on Poisson manifolds. For vector bundles, the corresponding operational notion of a contravariant derivative had been introduced by Izu Vaisman…