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http://dx.doi.org/10.5831/HMJ.2016.38.2.305

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)
Publication Information
Honam Mathematical Journal / v.38, no.2, 2016 , pp. 305-316 More about this Journal
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;
Citations & Related Records
Times Cited By KSCI : 5  (Citation Analysis)
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