Displaying similar documents to “Characteristic classes of regular Lie algebroids – a sketch”

Pontryagin algebra of a transitive Lie algebroid

Kubarski, Jan

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[For the entire collection see Zbl 0699.00032.] It was previously known that for every principal fibre bundle P there is some corresponding transitive Lie algebroid A(P) - a vector bundle equipped with some structure like the structure of a Lie algebra in the module of sections. The author of this article shows that the Chern-Weil homomorphism of P is a notion of the Lie algebroid of P, i.e. knowing only A(P) of P one can uniquely reproduce the ring of invariant polynomials ( V g * ) I and the...

Vector form brackets in Lie algebroids

Albert Nijenhuis (1996)

Archivum Mathematicum

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A brief exposition of Lie algebroids, followed by a discussion of vector forms and their brackets in this context - and a formula for these brackets in “deformed” Lie algebroids.