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2007 A CHARACTERIZATION OF DUAL LORENTZIAN SPHERICAL CURVES IN THE DUAL LORENTZIAN SPACE
Nihat Ayylldlz, A. Ceylan Çöken, Ahmet Yücesan
Taiwanese J. Math. 11(4): 999-1018 (2007). DOI: 10.11650/twjm/1500404798

Abstract

A differential equation characterizing the dual Lorentzian spherical curves and an explicit solution of this differential equation are given. Also, without the precondition on the dual torsion is nowhere pure-dual, a necessary and sufficient condition for a curve to be dual Lorentzian spherical is presented. In addition, thanks to dual geodesic trihedron, torsion and curvature of dual Lorentzian curve $\overset{\rightarrow}{\hat{x}(s)}$ have been calculated.

Citation

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Nihat Ayylldlz. A. Ceylan Çöken. Ahmet Yücesan. "A CHARACTERIZATION OF DUAL LORENTZIAN SPHERICAL CURVES IN THE DUAL LORENTZIAN SPACE." Taiwanese J. Math. 11 (4) 999 - 1018, 2007. https://doi.org/10.11650/twjm/1500404798

Information

Published: 2007
First available in Project Euclid: 18 July 2017

zbMATH: 1138.53015
MathSciNet: MR2348547
Digital Object Identifier: 10.11650/twjm/1500404798

Subjects:
Primary: 53C50

Keywords: dual Lorentzian Space , dual Lorentzian spherical curve , Frenet vectors , spacelike-Timelike curve

Rights: Copyright © 2007 The Mathematical Society of the Republic of China

Vol.11 • No. 4 • 2007
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