Image Curves on the Parallel-Like Surfaces in E3

被引：1
|
作者：
Yurttancikmaz, Semra [1 ]
Tarakci, Omer [1 ]
机构：
[1] Ataturk Univ, Dept Math, TR-25240 Erzurum, Turkiye
来源：
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY | 2023年 / 16卷 / 01期
关键词：
Darboux frame; parallel -like surfaces;
D O I：
10.36890/IEJG.1178434
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, it's introduced the curves lying on parallel-like surface Mf of a surface M in Euclidean space. Taking into account the definition of the parallel-like surface it's obtained parametric expression of these curves and examinated Darboux frame for these curves which we call image curves. And finally the curves lying on the surfaces M and Mf are compared by considering their geodesic and normal curvatures, the geodesic torsion.
引用
收藏
页码：122 / 131
页数：10
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