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T. A. Ivey and J. M. Landsberg, “Cartan for Beginners: Differential Geometry via Moving Frames and Exterior Differential Sys-tems,” American Mathematical Society, Providence, 2003.

has been cited by the following article:

• 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.