We study geometric properties of the Carnot-Carathéodory signed distance δs to a smooth hypersurface S in some 2-step Carnot groups. In particular, a sub-Riemannian version of Gauss' Lemma is proved.
Arcozzi, N., Ferrari, F., Montefalcone, F. (2017). Regularity of the distance function to smooth hypersurfaces in some two-step carnot groups. ANNALES ACADEMIAE SCIENTIARUM FENNICAE. MATHEMATICA, 42(1), 339-356 [10.5186/aasfm.2017.4222].
Regularity of the distance function to smooth hypersurfaces in some two-step carnot groups
ARCOZZI, NICOLA;FERRARI, FAUSTO;
2017
Abstract
We study geometric properties of the Carnot-Carathéodory signed distance δs to a smooth hypersurface S in some 2-step Carnot groups. In particular, a sub-Riemannian version of Gauss' Lemma is proved.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Mathematicavol42pp339-356.pdf
accesso aperto
Tipo:
Versione (PDF) editoriale
Licenza:
Licenza per accesso libero gratuito
Dimensione
278.16 kB
Formato
Adobe PDF
|
278.16 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
