Rotational embeddings in $Bbb{E}^4$ with pointwise 1-type gauss map

Abstract

In the present article we study the rotational embedded surfaces in $Bbb{E}^4$ . The rotational embedded surface was first studied by G. Ganchev and V. Milousheva as a surface in $Bbb{E}^4$ . The Otsuki (non-round) sphere in $Bbb{E}^4$ 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.