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

Authors: KADRİ ARSLAN, BENGÜ KILIÇ BAYRAM, BETÜL BULCA, YOUNG HO KİM, CENGİZHAN MURATHAN, GÜNAY ÖZTÜRK

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.

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

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