In the second part of the seminar we construct a smooth non-characteristic hypersurface in a Carnot group of topological dimension 8 that is purely Pauls' unrectifiable. This shows that even very regular objects of codimension 1 that for sure are rectifiable according to the definition of Franchi-Serapioni-Serra Cassano are not so according to Pauls' definition. Finally we discuss how to prove that such an example does not exist in the Heisenberg group $\mathbb H^n$, with $n\geq 2$. That is to say, every smooth hypersurface in $\mathbb H^n$, with $n\geq 2$, is Pauls' rectifiable, even with bi-Lipschitz maps.
This is a joint work with E. Le Donne.
http://cvgmt.sns.it/seminar/711/
When | Wed Oct 23, 2019 3pm – 4pm Coordinated Universal Time |
Where | Sala Seminari (Dipartimento di Matematica di Pisa) (map) |