RECTIFYING CURVES ON A SMOOTH SURFACE IMMERSED IN THE EUCLIDEAN SPACE

被引：13
|
作者：
Shaikh, Absos Ali [1 ]
Ghosh, Pinaki Ranjan [1 ]
机构：
[1] Univ Burdwan, Dept Math, Burdwan 713104, W Bengal, India
来源：
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2019年 / 50卷 / 04期
关键词：
Rectifying curve; Frenet-Serret equation; isometry of surfaces; first fundamental form;
D O I：
10.1007/s13226-019-0361-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main objective of the present paper is to investigate a sufficient condition for which a rectifying curve on a smooth surface remains invariant under isometry of surfaces, and also it is shown that under such an isometry the component of the position vector of a rectifying curve on a smooth surface along the normal to the surface is invariant.
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页码：883 / 890
页数：8
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