Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

A. Ottazzi - D. Vittone

On the codimension of the abnormal set in step two Carnot groups

created by vittone on 10 Nov 2017
modified on 10 Jan 2018


Accepted Paper

Inserted: 10 nov 2017
Last Updated: 10 jan 2018

Journal: ESAIM Control Optim. Calc. Var.
Year: 2017

ArXiv: 1709.02854 PDF


In this article we prove that the codimension of the abnormal set of the endpoint map for certain classes of Carnot groups of step 2 is at least three. Our result applies to all step 2 Carnot groups of dimension up to 7 and is a generalisation of a previous analogous result for step 2 free nilpotent groups.


Credits | Cookie policy | HTML 5 | CSS 2.1