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arxiv: 1302.2804 · v1 · pith:XV5FM4WQnew · submitted 2013-02-12 · 🧮 math.DG

Flat Rotational Surface with Pointwise 1-typeGauss map in E4

classification 🧮 math.DG
keywords flatgeneralpointwisesurfacegaussrotationrotationaltype
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In this paper we study general rotational surfaces in the 4- dimensional Euclidean space E4 and give a characterization of flat general rotation surface with pointwise 1-type Gauss map. Also, we show that a non-planar flat general rotation surface with pointwise 1-type Gauss map is a Lie group if and only if it is a Clifford torus.

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