Geometry Seminar: G. Pipoli (L'Aquila)
Geometry Seminar (Geometric Analysis)
Speaker: Giuseppe Pipoli (Dipartimento di Ingegneria e Scienze dell'Informazione e Matematica in L'Aquila)
Title: Constant mean curvature hypersurfaces in $\mathbb H^n\times\mathbb R$ with small planar boundary.
Speaker: Giuseppe Pipoli (Dipartimento di Ingegneria e Scienze dell'Informazione e Matematica in L'Aquila)
Title: Constant mean curvature hypersurfaces in $\mathbb H^n\times\mathbb R$ with small planar boundary.
Abstract: We show that constant mean curvature hypersurfaces in $\mathbb H^n\times\mathbb R$ with small 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 $\mathbb H^n\times\mathbb R$ of a classical result in $\mathbb R^3$ by A. Ros and H. Rosenberg. This talk is based on a joint work with Barbara Nelli.