Interior and Exterior Differential Systems for Lie Algebroids
arXiv:1102.1781
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 Cartan type is obtained. Extending the classical notion of exterior differential system (EDS) to Lie algebroids, a theorem of Cartan type is obtained.
10 pages. Submitted and accepted to Advances in Pure Mathematics; May, 2011