paper

Characterizations of the Quaternionic Mannheim Curves in E^4

arXiv:1301.5666

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.

10 pages