## On regular algebraic surfaces of $\mathbb{R}^3$ with constant mean curvature

Type:
Site:
Date:
07/04/2014 - 13:45 - 14:45
Salle:
2015
Orateur:
BARBOSA Lucas
Localisation:
Université de Fortaleza
Localisation:
Brésil
Résumé:

We consider regular surfaces $M$ that are given as the zeros of a polynomial function $p : \mathbb{R}^3 \rightarrow \mathbb{R}$, where the gradient of $p$ vanishes nowhere. We assume that $M$ has non-zero mean curvature and prove that there exist only two examples of such surfaces, namely the sphere and the circular cylinder