%0 Journal Article
%T Interior and Exterior Differential Systems for Lie Algebroids
%A Constantin M. Arcu£¿
%J Advances in Pure Mathematics
%P 245-249
%@ 2160-0384
%D 2011
%I Scientific Research Publishing
%R 10.4236/apm.2011.15044
%X 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.
%K Vector Bundle
%K Lie Algebroid
%K Interior Differential System
%K Exterior Differential Calculus
%K Exterior Differential System
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=7252