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arXiv · 1109.4282

Local description of generalized forms on transitive Lie algebroids and applications

Cédric Fournel·Serge Lazzarini·Thierry Masson
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Abstract

In this paper we study the local description of spaces of forms on transitive Lie algebroids. We use this local description to introduce global structures like metrics, $\ast$-Hodge operation and integration along the algebraic part of the transitive Lie algebroid (its kernel). We construct a Čech-de Rham bicomplex with a Leray-Serre spectral sequence. We apply the general theory to Atiyah Lie algebroids and to derivations on a vector bundle.

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Cédric Fournel, Serge Lazzarini, Thierry Masson. 2011-09-20. Local description of generalized forms on transitive Lie algebroids and applications. https://arxiv.org/abs/1109.4282

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