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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).
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Article

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

by
Ayse Funda Yalınız
* and
H. Hilmi Hacısalihoğlu
Ankara University, Faculty of Sciences, Department of Mathematics, 06100 Tandogan, Ankara, Turkey
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2005, 10(1), 105-111; https://doi.org/10.3390/mca10010105
Published: 1 April 2005
Versions Notes

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

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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. https://doi.org/10.3390/mca10010105

AMA Style

Yalınız AF, Hacısalihoğlu HH. Null Generalized Helices in L3 and L4, 3 and 4-Dimensional Lorentzian Space. Mathematical and Computational Applications. 2005; 10(1):105-111. https://doi.org/10.3390/mca10010105

Chicago/Turabian Style

Yalınız, Ayse Funda, and H. Hilmi Hacısalihoğlu. 2005. "Null Generalized Helices in L3 and L4, 3 and 4-Dimensional Lorentzian Space" Mathematical and Computational Applications 10, no. 1: 105-111. https://doi.org/10.3390/mca10010105

APA Style

Yalınız, A. F., & Hacısalihoğlu, H. H. (2005). Null Generalized Helices in L3 and L4, 3 and 4-Dimensional Lorentzian Space. Mathematical and Computational Applications, 10(1), 105-111. https://doi.org/10.3390/mca10010105

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