# Constant mean curvature hypersurfaces in $H^n \times \mathbb{R}$ with small planar boundary

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Giuseppe Pipoli

created by raffero on 21 Nov 2022

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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