Journals / Turkish Journal of Mathematics / 2011 / Cilt: 35 - Sayı: 3

Rotational embeddings in E4 with pointwise 1-type gauss map

Pages
493–499
DOI
—

Abstract

In the present article we study the rotational embedded surfaces in E4. The rotational embedded surface was first studied by G. Ganchev and V. Milousheva as a surface in E4. The Otsuki (non-round) sphere in E4 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.

Özet

In the present article we study the rotational embedded surfaces in E4. The rotational embedded surface was first studied by G. Ganchev and V. Milousheva as a surface in E4. The Otsuki (non-round) sphere in E4 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.

Keywords: Rotation surface, gauss map, finite type, Pointwise 1-type