English

Mannheim curves with modified orthogonal frame in Euclidean 3-space

Differential Geometry 2018-10-01 v1

Abstract

In this paper, we investigate Mannheim pairs, Frenet-Mannheim curves and Weakened Mannheim curves with respect to the modified orthogonal frame in Euclidean 3-space(E 3 ). We obtain some characterizations of these curves.

Keywords

Cite

@article{arxiv.1809.10876,
  title  = {Mannheim curves with modified orthogonal frame in Euclidean 3-space},
  author = {Mohamd Saleem Lone and Hasan Es and Murat Kemal Karacan and Bahaddin Bukcu},
  journal= {arXiv preprint arXiv:1809.10876},
  year   = {2018}
}
R2 v1 2026-06-23T04:21:38.849Z