Abstract
The idea of the fibre integral / in an oriented bundle is adapted to a regular Lie algebroid. It is based on the well-known result expressing the fibre integral of right-invariant differential forms on a principal bundle via some substitution operator. The object of this article is to define the integration operator f A over the adjoint bundle of Lie algebras g in a regular Lie algebroid A over a foliated manifold (M, F) with respect to a cross-section ɛ ∈ Sec ⋀n g, n = rank g, and to demonstrate its main properties.
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Kubarski, J. (1999). Fibre Integral in Regular Lie Algebroids. In: Szenthe, J. (eds) New Developments in Differential Geometry, Budapest 1996. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5276-1_12
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DOI: https://doi.org/10.1007/978-94-011-5276-1_12
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