## The Alexandrov problem in a quotient space of $\mathbb{H}^2 \times \mathbb{R}$

Type:
Site:
Date:
26/09/2011 - 15:30 - 16:30
Salle:
0D1
Orateur:
MENEZES Ana Maria
Localisation:
IMPA
Localisation:
Brésil
Résumé:

In this talk, we will prove an Alexandrov type theorem for a quotient space of $\mathbb{H}^2 \times \mathbb{R}$. More precisely, we will classify the compact embedded surfaces with constant mean curvature in the quotient of $\mathbb{H}^2 \times \mathbb{R}$ by a subgroup of isometries generated by a parabolic translation along horocycles of $\mathbb{H}^2$ and a vertical translation. Moreover, we will construct some examples of periodic minimal surfaces in $\mathbb{H}^2 \times \mathbb{R}$ .