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math.DG2013★ 1 cited
Flat Rotational Surface with Pointwise 1-typeGauss map in E4
Ferdağ Kahraman Aksoyak, Yusuf Yaylı
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…
math.DG2012★ 2 cited
Parallel Transport Frame in 4-dimensional Euclidean Space
Fatma Gökçelik, Zehra Bozkurt, İsmail Gök +2
In this work, we give parallel transport frame of a curve and we introduce the relations between the frame and Frenet frame of the curve in 4-dimensional Euclidean space. The relat…
math.DG2012★ 5 cited
The relation between parameter curves and lines of curvature on canal surfaces
Fatih Dogan, Yusuf Yayli
A canal surface is the envelope of a moving sphere with varying radius, defined by the trajectory C(t) (spine curve) of its center and a radius function r(t). In this paper, we inv…