Lie Algebroids, Holonomy and Characteristic Classes

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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 extension of the usual concept of connection. Using connections, we are able to define holonomy of the orbit foliation of a Lie algebroid and prove a stability theorem. We also introduce secondary or exotic characteristic classes that generalize the modular class of a Lie algebroid.
Several typos corrected. References added. Final version for publication

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Differential Geometry, Symplectic Geometry, 53C05; 53c29; 53d17

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http://salesiana.dossiersoluciones.com/handle/123456789/59604

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0007132
 http://arxiv.org/abs/math/0007132

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arXiv