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

## 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.

----------------------------------------------------------------------------------

If you would like to attend the talk remotely, please send an e-mail to dgseminar.torino@gmail.com

Credits | Cookie policy | HTML 5 | CSS 2.1