We prove that, given a C-2 Riemannian metric g on the 2-dimensional disk D-2, any short C-1 immersion of (D-2, g) into R-3 can be uniformly approximated with C-1,C-alpha isometric immersions for any alpha < 1/5 . This statement improves previous results by Yu. F. Borisov and of a joint paper of the first and third author with S. Conti.
A Nash-Kuiper theorem for C1,1/5−δ immersions of surfaces in 3 dimensions
De Lellis, C.;
2018-01-01
Abstract
We prove that, given a C-2 Riemannian metric g on the 2-dimensional disk D-2, any short C-1 immersion of (D-2, g) into R-3 can be uniformly approximated with C-1,C-alpha isometric immersions for any alpha < 1/5 . This statement improves previous results by Yu. F. Borisov and of a joint paper of the first and third author with S. Conti.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
2018_RevMatIberoam_34_DeLellis.pdf
accesso aperto
Tipologia:
Versione Editoriale (PDF)
Licenza:
Accesso gratuito
Dimensione
450.13 kB
Formato
Adobe PDF
|
450.13 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
