Interior and Exterior Differential Systems for Lie Algebroids

Details Interior and Exterior Differential Systems for Lie Algebroids Interior and Exterior Differential Systems for Lie Algebroids

2011-02-09

arxiv.org/abs/1102.1781v3

Advances in Pure Mathematics, doi:10.4236-apm.2011.15044

Physics

Mathematical Physics

10 pages. Submitted and accepted to Advances in Pure Mathematics; May, 2011

Scientific paper

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.

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