Abstract
It is well known that the Gauss map of a constant mean curvature surface is point wise 1-type. In this paper, we show that if the Gauss map of general helicoids is pointwise 1 – type then, it’s mean curvature is a constant.
Keywords and Phrases : hypersurface, mean curvature, Gauss map
Résumé. On montre que si le laplacien de l’application de Gauss d’un hélicoide lui est proportionnel alors sa courbure moyenne est constante.