The condition of non-commutativity of the squares of two vector fields in a nilpotent distribution

Mimouni, Assia Elbatoule2024-11-032024-11-032024https://dspace.univ-ghardaia.edu.dz/xmlui/handle/123456789/8846In this Memory , we aim to define certain properties regarding the nilpotent distribution D = span{X,Y} in the space R n , This property determines the necessary condition for the Lie bracket X 2 ,Y 2 ̸= 0 . This result offers less computation and excellent description for the calcul of X 2 ,Y 2 .enDistribution , Vector fields , Lie bracket , nilpotentDistribution , Champ de vecteur , Crochet de lie , nilpotent ...The condition of non-commutativity of the squares of two vector fields in a nilpotent distributionThesis