Rotational embeddings in E-4 with pointwise 1-type gauss map

Abstract

In the present article we study the rotational embedded surfaces in E-4. The rotational embedded surface was first studied by G. Ganchev and V. Milousheva as a surface in E-4. The Otsuki (non-round) sphere in E-4 is one of the special examples of this surface. Finally, we give necessary and sufficient conditions for the flat Ganchev-Milousheva rotational surface to have pointwise 1-type Gauss map.