We introduce a dynamical-systems approach for the study of the Sard problem in sub-Riemannian Carnot groups. We show that singular curves can be obtained by concatenating trajectories of suitable dynamical systems. As an application, we positively answer the Sard problem in some classes of Carnot groups.
A dynamical approach to the Sard problem in Carnot groups
Boarotto F.
;Vittone D.
2020
Abstract
We introduce a dynamical-systems approach for the study of the Sard problem in sub-Riemannian Carnot groups. We show that singular curves can be obtained by concatenating trajectories of suitable dynamical systems. As an application, we positively answer the Sard problem in some classes of Carnot groups.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
Sard_BV_revised.pdf
accesso aperto
Descrizione: Sard_BV_revised.pdf
Tipologia:
Preprint (submitted version)
Licenza:
Accesso gratuito
Dimensione
437.89 kB
Formato
Adobe PDF
|
437.89 kB | Adobe PDF | Visualizza/Apri |
BoarotttoVittoneJDE.pdf
Accesso riservato
Tipologia:
Published (publisher's version)
Licenza:
Accesso privato - non pubblico
Dimensione
501.16 kB
Formato
Adobe PDF
|
501.16 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.