DIANGITUKULU NDIMBA Samuel1*, MUSESA LANDA Alain1.

Distributions associated to a foliation and Lie-Rinehart algebra.

In this paper we determine a Lie-Rinehart algebra structure on the submodule, 𝔛(F), associated to the 𝑇Fdistribution, we define the Lie-Rinehart algebra structure concept on the foliation in leaf geometry and then we deduce that any distribution associated to a foliation F is completely integrable. Téléchargé l'article