Flat Rotational Surface with Pointwise 1-typeGauss map in E4

Published 12 Feb 2013 in math.DG | (1302.2804v1)

Abstract: 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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