The condition of non-commutativity of the squares of two vector fields in a nilpotent distribution
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Date
2024
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
université Ghardaia
Abstract
In 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
.
Description
Keywords
Distribution , Vector fields , Lie bracket , nilpotent, Distribution , Champ de vecteur , Crochet de lie , nilpotent ...