English

Characterizations of the Quaternionic Mannheim Curves in E^4

Differential Geometry 2013-11-05 v1

Abstract

In [5], Matsuda and Yorozo obtained that Mannheim curves in 4-dimensional Euclidean space. In this study, we define quaternionic Mannheim curves and we give some characterizations of them in Euclidean 3-space and 4-space.

Keywords

Cite

@article{arxiv.1301.5666,
  title  = {Characterizations of the Quaternionic Mannheim Curves in E^4},
  author = {O. Zeki Okuyucu},
  journal= {arXiv preprint arXiv:1301.5666},
  year   = {2013}
}

Comments

10 pages

R2 v1 2026-06-21T23:14:28.939Z