We show that constant mean curvature hypersurfaces in Hn×R, with small and pinched boundary contained in a horizontal slice P, are topological disks provided they are contained in one of the two halfspaces determined by P. This is the analogous in Hn×R of a result in R3 by A. Ros and H. Rosenberg [J. Differential Geom. 44 (1996), 807–817].
Constant mean curvature hypersurfaces in $\mathbb{H}^n\times\mathbb{R}$ with small planar boundary
Nelli, Barbara;Pipoli, Giuseppe
2023-01-01
Abstract
We show that constant mean curvature hypersurfaces in Hn×R, with small and pinched boundary contained in a horizontal slice P, are topological disks provided they are contained in one of the two halfspaces determined by P. This is the analogous in Hn×R of a result in R3 by A. Ros and H. Rosenberg [J. Differential Geom. 44 (1996), 807–817].File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Nelli - Pipoli - 1.1.pdf
solo utenti autorizzati
Tipologia:
Documento in Pre-print
Licenza:
Copyright dell'editore
Dimensione
558.35 kB
Formato
Adobe PDF
|
558.35 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.
