CRIS Current Research Information System
IRIS è la soluzione IT che facilita la raccolta e la gestione dei dati relativi alle attività e ai prodotti della ricerca. Fornisce a ricercatori, amministratori e valutatori gli strumenti per monitorare i risultati della ricerca, aumentarne la visibilità e allocare in modo efficace le risorse disponibili.
EnglishMinimal surfaces in the sub-Riemannian Heisenberg group can be constructed by means of a Riemannian approximation scheme, as limit of Riemannian minimal surfaces. We study the regularity of Lipschitz, non-characteristic minimal surfaces which arise as such limits. Our main results are a-priori estimates on the solutions of the approximating Riemannian PDE and the ensuing C∞ regularity of the sub-Riemannian minimal surface along its Legendrian foliation.
| Titolo: | Regularity of non-characteristic minimal graphs in the Heisenberg group $mathbb{H}^{1}$ | |
| Autore/i: | L. Capogna; CITTI, GIOVANNA; MANFREDINI, MARIA | |
| Autore/i Unibo: | ||
| Anno: | 2009 | |
| Rivista: | ||
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1512/iumj.2009.58.3673 | |
| Abstract: | Minimal surfaces in the sub-Riemannian Heisenberg group can be constructed by means of a Riemannian approximation scheme, as limit of Riemannian minimal surfaces. We study the regularity of Lipschitz, non-characteristic minimal surfaces which arise as such limits. Our main results are a-priori estimates on the solutions of the approximating Riemannian PDE and the ensuing C∞ regularity of the sub-Riemannian minimal surface along its Legendrian foliation. | |
| Data prodotto definitivo in UGOV: | 2009-12-18 19:35:03 | |
| Appare nelle tipologie: | 1.01 Articolo in rivista |
File in questo prodotto:
http://hdl.handle.net/11585/81424
Copyright © 2021