On the quaternionic inclined curves in the semi-Euclidean space E-2(4)


Coken A., Tuna A.

APPLIED MATHEMATICS AND COMPUTATION, vol.155, no.2, pp.373-389, 2004 (SCI-Expanded) identifier identifier

Abstract

In this paper, we studied quaternion valued functions and quaternionic inclined curves in the semi-Euclidean space E-2(4). We give Serret-Frenet formulae for the quaternionic curve in the semi-Euclidean space E-2(4). Then we define quaternionic inclined curves and harmonic curvatures for the quaternionic curves in the semi-Euclidean space E-2(4). In addition, we obtained some characterizations for the quaternionic inclined curves in the terms of the harmonic curvatures. (C) 2003 Elsevier Inc. All rights reserved.