Article citationsMore>>

J. Grabowski and P. Urbanski, “Lie Algebroids and Pois-son-Nijenhuis Structures,” Reports on Mathematical Physics, Vol. 40, No. 2, 1997, pp. 196-208. doi:10.1016/S0034-4877(97)85916-2

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.