A sufficient condition for nonrigidity of Carnot groups
type: Item
instance of: scholarly article
title: A sufficient condition for nonrigidity of Carnot groups
zbMATH Open document ID: 1143.22006
author: Alessandro Ottazzi
published in: Mathematische Zeitschrift
publication date: 2008-05-27T00:00:00Z
full work available at URL: 209 2007 Article 240.pdf
review text: A Carnot group \(G\) has a Lie algebra which is stratified and it is equipped with an inner product related to the stratification. Contact mappings can be read off at the Lie algebra level through contact vector fields. In this work the author gives a sufficient condition for \(G\) being nonrigid. This allows the construction of an example of a nonrigid group, whose Lie algebra is not isomorphic to the Lie algebra of any jet space.
reviewed by: Gabriela Paola Ovando
Mathematics Subject Classification ID: 22E25
Mathematics Subject Classification ID: 22E60
Mathematics Subject Classification ID: 53D10
zbMATH DE Number: 5279024
zbMATH Keywords: Carnot groups
zbMATH Keywords: contact mappings
zbMATH Keywords: rigidity
MaRDI profile type: Publication
OpenAlex ID: W1974813895
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DOI: 10.1007/S00209-007-0240-2
description: scientific article; zbMATH DE number 5279024