Kadri ARSLAN, Betül BULCA, Cengizhan MURATHAN

Rotational embeddings in E4 with pointwise 1-type gauss map

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.

Anahtar Kelimeler:

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

Rotational embeddings in E4 with pointwise 1-type gauss map

Keywords:

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

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Kadri ARSLAN, Bet¨ul BULCA, Cengizhan MURATHAN Department of Mathematics Uluda˘g University Bursa, TURKEY e-mail: arslan@uludag.edu.tr, Beng¨u KILIC¸ BAYRAM Department of Mathematics Balıkesir University Balıkesir, TURKEY e-mail: benguk@balikesir.edu.tr Young Ho KIM Department of Mathematics Kyunpook National University Taegu, KOREA e-mail: yhkim@knu.ac.kr G¨unay ¨OZT ¨URK Department of Mathematics Kocaeli University Kocaeli, TURKEY e-mail: ogunay@kocaeli.edu.tr