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:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
