In this article we consider contact mappings on Carnot groups. Namely, we are interested in those mappings whose differential preserves the horizontal space, defined by the first stratum of the natural stratification of the Lie algebra of a Carnot group. We give a sufficient condition for a Carnot group G to admit an infinite dimensional space of contact mappings, that is, for G to be nonrigid. A generalization of Kirillov’s Lemma is also given. Moreover, we construct a new example of nonrigid Carnot group.
Ottazzi, A. (2008). A sufficient condition for nonrigidity of Carnot groups. MATHEMATISCHE ZEITSCHRIFT, 259(3), 617-629 [10.1007/s00209-007-0240-2].
Citazione: | Ottazzi, A. (2008). A sufficient condition for nonrigidity of Carnot groups. MATHEMATISCHE ZEITSCHRIFT, 259(3), 617-629 [10.1007/s00209-007-0240-2]. | |
Tipo: | Articolo in rivista - Articolo scientifico | |
Carattere della pubblicazione: | Scientifica | |
Titolo: | A sufficient condition for nonrigidity of Carnot groups | |
Autori: | Ottazzi, A | |
Autori: | ||
Data di pubblicazione: | 2008 | |
Lingua: | English | |
Rivista: | MATHEMATISCHE ZEITSCHRIFT | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s00209-007-0240-2 | |
Appare nelle tipologie: | 01 - Articolo su rivista |