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Math. Comput. Appl. 2005, 10(1), 105-111; doi:10.3390/mca10010105

Null Generalized Helices in L3 and L4, 3 and 4-Dimensional Lorentzian Space

Ankara University, Faculty of Sciences, Department of Mathematics, 06100 Tandogan, Ankara, Turkey
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Published: 1 April 2005
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Abstract

In this paper we obtain the harmonic curvatures of a null generalized helix in L3 and L4 , 3 and 4-dimensional Lorentzian spaces. Thus we another definitions of null generalized helix in terms of harmonic curvatures. Also we find the relation of between Frenet frame, slope axis and curvature functions 1 k , 2 k of null generalized helix. Finally we characterize the null helices thanks to harmonic curvatures in L3 and L4 , 3 and 4- dimensional Lorentzian space.
Keywords: Lorentzian space; null helix; harmonic curvature Lorentzian space; null helix; harmonic curvature
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

Yalınız, A.F.; Hacısalihoğlu, H.H. Null Generalized Helices in L3 and L4, 3 and 4-Dimensional Lorentzian Space. Math. Comput. Appl. 2005, 10, 105-111.

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