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FLAT ROTATIONAL SURFACES WITH POINTWISE 1-TYPE GAUSS MAP IN E4

  • Aksoyak, Ferdag Kahraman (Ahi Evran University, Division of Elementary Mathematics Education) ;
  • Yayli, Yusuf (Ankara University, Department of Mathematics)
  • Received : 2015.07.23
  • Accepted : 2016.03.15
  • Published : 2016.06.25

Abstract

In this paper we study general rotational surfaces in the 4-dimensional Euclidean space $\mathbb{E}^4$ and give a characterization of flat general rotational surface with pointwise 1-type Gauss map. Also, we show that a flat general rotational surface with pointwise 1-type Gauss map is a Lie group if and only if it is a Clifford torus.

Keywords

Rotation surface;Gauss map;Pointwise 1-type Gauss map;Euclidean space

References

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