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

页码：122 / 131

页数：10

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