2011•TURKISH JOURNAL OF MATHEMATICSOpen access

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

Kadri Arslan, Bengü Bayram, Betül Bulca, Y. H. Kim, Cengizhan 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.

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Key concepts: Pointwise, Mathematics, Gauss map, Surface (topology), Type (biology), Gauss, Mathematical analysis, Geometry