The main purpose of this paper is to provide examples of nonrigid Carnot groups that do note appear in the literature. We use a condition from the same author of this article in order to construct such examples. It comes out that suitable semidirect products of any nilpotent strati ed Lie group with R^q for any q is a nonrigid Carnot group. Moreover, we single out conditions using the language of root system in order to de fine a class of nonrigid Hessenberg manifolds.
Ottazzi, A. (2012). Classes of nonrigid Carnot groups. BULLETIN OF THE MALAYSIAN MATHEMATICAL SOCIETY, 35(2A), 567-571.
Classes of nonrigid Carnot groups
OTTAZZI, ALESSANDRO
2012
Abstract
The main purpose of this paper is to provide examples of nonrigid Carnot groups that do note appear in the literature. We use a condition from the same author of this article in order to construct such examples. It comes out that suitable semidirect products of any nilpotent strati ed Lie group with R^q for any q is a nonrigid Carnot group. Moreover, we single out conditions using the language of root system in order to de fine a class of nonrigid Hessenberg manifolds.
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