OSCULATING CURVES ACCORDING TO THE EXTENDED DARBOUX FRAME IN E4

被引：0
|
作者：
BEKTAS, O. Z. C. A. N. [1 ]
机构：
[1] Samsun Univ, Fac Engn, Dept Basic Sci, TR-55100 Samsun, Turkiye
来源：
JOURNAL OF SCIENCE AND ARTS | 2023年 / 01期
关键词：
osculating curve; extended Darboux frame; geodesic curvature; geodesic torsion;
D O I：
10.46939/J.Sci.Arts-23.1-a04
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we define osculating curves according to the extended Darboux frame (ED-frame), in Euclidean 4-space. Then, according to Case 1 and Case 2 ED -frame fields, the necessary and sufficient condition for a unit speed curve lying on the hypersurface to be congruent to an osculating curve is obtained. For these necessary and sufficient conditions, the solutions of the differential equations have been investigated. Finally, an application has been made on the subject.
引用
收藏
页码：51 / 60
页数：10
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