Rectifying curves on a smooth surface immersed in the euclidean space
General Mathematics
2018-08-13 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1808.03270,
title = {Rectifying curves on a smooth surface immersed in the euclidean space},
author = {Absos Ali Shaikh and Pinaki Ranjan Ghosh},
journal= {arXiv preprint arXiv:1808.03270},
year = {2018}
}
Comments
10 pages