Interior and Exterior Differential Systems for Lie Algebroids

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DOI: 10.4236/apm.2011.15044   PDF   HTML     3,632 Downloads   8,081 Views   Citations

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.

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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.

References

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