Surfaces of Revolution with Vanishing Curvature in Galilean 3-Space

被引:0
作者
Dede, M. [1 ]
Ekici, C. [2 ]
Goemans, W. [3 ]
机构
[1] Kilis 7 Aralik Univ, Dept Math, TR-79000 Kilis, Turkey
[2] Eskisehir Osmangazi Univ, Dept Math Comp, TR-26480 Eskisehir, Turkey
[3] Katholieke Univ Leuven, Fac Econ & Business, B-1000 Brussels, Belgium
关键词
surface of revolution; flat surface; minimal surface; Galilean; 3-space; SPACE;
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 paper, three types of surfaces of revolution in the Galilean 3-space are defined and studied. The construction of the well-known surface of revolution, defined as the trace of a planar curve rotated about an axis in the supporting plane of the curve, is given for the Galilean 3-space. Then we classify the surfaces of revolution with vanishing Gaussian curvature or vanishing mean curvature in the Galilean 3-space.
引用
收藏
页码:141 / 152
页数:12
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