English

Rectifying curves under conformal transformation

General Mathematics 2019-07-09 v1

Abstract

The main aim of this paper is to investigate the nature of invariancy of rectifying curve under conformal transformation and obtain a sufficient condition for which such a curve remains conformally invariant. It is shown that the normal component and the geodesic curvature of the rectifying curve is homothetic invariant.

Keywords

Cite

@article{arxiv.1907.03550,
  title  = {Rectifying curves under conformal transformation},
  author = {Absos Ali Shaikh and Mohamd Saleem Lone and Pinaki Ranjan Ghosh},
  journal= {arXiv preprint arXiv:1907.03550},
  year   = {2019}
}
R2 v1 2026-06-23T10:14:44.193Z