Superconformal ruled surfaces in E4

被引：0

作者：

Bayram, Bengue ^{[2
]}

Bulca, Betuel ^{[1
]}

Arslan, Kadri ^{[1
]}

Ozturk, Gunay ^{[3
]}

机构：

[1] Uludag Univ, Dept Math, TR-16059 Bursa, Turkey

[2] Balikesir Univ, Fac Sci & Art, Dept Math, TR-10145 Balikesir, Turkey

[3] Kocaeli Univ, Dept Math, TR-41310 Kocaeli, Turkey

来源：

MATHEMATICAL COMMUNICATIONS | 2009年 / 14卷 / 02期

关键词：

ruled surface; curvature ellipse; superconformal surface; GEOMETRY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present study we consider ruled surfaces imbedded in a Euclidean space of four dimensions. We also give some special examples of ruled surfaces in E-4. Further, the curvature properties of these surface are investigated with respect to variation of normal vectors and curvature ellipse. Finally, we give a necessary and sufficient condition for ruled surfaces in E-4 to become superconformal. We also show that superconformal ruled surfaces in E-4 are Chen surfaces.

引用

页码：235 / 244

页数：10

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