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Interior and Exterior Differential Systems for Lie Algebroids
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Advances in Pure Mathematics·Volume 01 (2011)·Pages 245–249·Published 21 September 2011·DOI10.4236/apm.2011.15044
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Abstract
A theorem of Maurer-Cartan type for Lie algebroids is presented. Suppose that any vector subbundle of a Lie algebroid is called interior differential system (IDS) for that Lie algebroid. A theorem of Frobenius type is obtained. Extending the classical notion of exterior diffential system (EDS) to Lie algebroids, a theorem of Cartan type is obtained.
KeywordsVector BundleLie AlgebroidInterior Differential SystemExterior Differential CalculusExterior Differential System
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