Classes of Nonrigid Carnot Groups

The main purpose of this paper is to provide examples of nonrigid Carnot groups that do not appear in the literature. We use a condition in a previous article in order to construct such examples. It comes out that suitable semidirect products of any nilpotent stratified Lie group with some euclidean space are nonrigid Carnot groups. Moreover, we single out conditions using the language of root system in order to define a class of nonrigid Hessenberg manifolds.