Author(s)

Constantin M. Arcuş

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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.

Vector Bundle, Lie Algebroid, Interior Differential System, Exterior Differential Calculus, Exterior Differential System

C. Arcuş, "Interior and Exterior Differential Systems for Lie Algebroids," Advances in Pure Mathematics, Vol. 1 No. 5, 2011, pp. 245-249. doi: 10.4236/apm.2011.15044.