Constant mean curvature hypersurfaces in HnxR with small planar boundary

Fecha: 5 de noviembre de 2021.
Hora: 12:00 a 13:30.
Lugar: La charla se retransmitirá via zoom en la sala Einstein de la UGR con password 466640.

Author: Giuseppe Pipoli (Università degli Studi dell’Aquila).

Summary: 
We show that constant mean curvature hypersurfaces in HnxR, 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 a joint work with B. Nelli and it is the analogous in HnxR of a result in R3 by A. Ros and H. Rosenberg.