Modular Classes of Lie Algebroid Morphisms
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- Kosmann-Schwarzbach, Y., Laurent-Gengoux, C. & Weinstein, A. Transformation Groups (2008) 13: 727. doi:10.1007/s00031-008-9032-y
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We study the behavior of the modular class of a Lie algebroid under general Lie algebroid morphisms by introducing the relative modular class. We investigate the modular classes of pull-back morphisms and of base-preserving morphisms associated to Lie algebroid extensions. We also define generalized morphisms, including Morita equivalences, that act on the 1-cohomology, and observe that the relative modular class is a coboundary on the category of Lie algebroids and generalized morphisms with values in the 1-cohomology.