Interior and Exterior Differential Systems for Lie Algebroids ()
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.
Share and Cite:
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.
Conflicts of Interest
The authors declare no conflicts of interest.
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