TITLE:
Interior and Exterior Differential Systems for Lie Algebroids
AUTHORS:
Constantin M. Arcuş
KEYWORDS:
Vector Bundle, Lie Algebroid, Interior Differential System, Exterior Differential Calculus, Exterior Differential System
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.1 No.5,
September
21,
2011
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.