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.

引用

页码：883 / 890

页数：8

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