GENERAL HELICOIDS WITH POINTWISE 1 – TYPE GAUSS MAP

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.

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