Calculus of Variations and Geometric Measure Theory
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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 17 Nov 2020


Published Paper

Inserted: 10 nov 2017
Last Updated: 17 nov 2020

Journal: ESAIM Control Optim. Calc. Var.
Volume: 25
Year: 2019

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.


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