Darboux Rectifying curves on a smooth surface
Differential Geometry
2021-04-06 v1
Abstract
The main aim of this paper is to investigate Darboux rectifying curves on a smooth surface immersed in the Euclidean space. First, we discuss the component of the position vector of a Darboux rectifying curve on a smooth immersed surface under the isometry of surfaces. Next we find a sufficient condition for the conformal invariance of Darboux rectifying curve.
Keywords
Cite
@article{arxiv.2104.01338,
title = {Darboux Rectifying curves on a smooth surface},
author = {Buddhadev Pal and Akhilesh Yadav},
journal= {arXiv preprint arXiv:2104.01338},
year = {2021}
}
Comments
10 pages