13 dec 2022 -- 14:30
Aula Seminari, DISMA, Politecnico di Torino
Differential Geometry Seminar Torino
Abstract.
We show that constant mean curvature hypersurfaces in $H^n \times \mathbb{R}$ 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 $H^n \times \mathbb{R}$ of a result in $\mathbb{R}^3$ by A. Ros and H. Rosenberg. This talk is based on a joint work with Barbara Nelli.
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