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

Alessandro Ottazzi; Davide Vittone

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arXiv · 1709.02854

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

Alessandro Ottazzi·Davide Vittone

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Abstract

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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Alessandro Ottazzi, Davide Vittone. 2017-09-05. On the codimension of the abnormal set in step two Carnot groups. https://arxiv.org/abs/1709.02854

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