Volume no :15, Issue no: 1, February (2016)

THE DARBOUX VECTOR OF A NON-NULL CURVE IN

Author's: Esen Iyigün
Pages: [81] - [92]
Received Date: February 24, 2016
Submitted by:
DOI: http://dx.doi.org/10.18642/jpamaa_7100121636

Abstract

In this paper, we study the Darboux vector of a non-null curve in Minkowski 4-space We also give a relation between the Darboux vector and harmonic curvatures. We find a relation between ccr-curves and harmonic curvatures of this curve. Further, we obtained some results for space-like and time-like vectors. We also show that if the ratios of the curvatures of a non-null curve are constant, then those of the ccr-curve are also constant.

Keywords

Darboux vector, Darboux vertex, constant curvature ratios, harmonic curvatures, i-th e-curvature function.