Spacelike – timelike involute – evolute curve couple on dual Lorentzian space
Abstract
In this paper, we have defined the involute curves of the dual timelike curve M_1 in dual Lorentzian space, D_1^3. We have seen that the dual involute curve M_2 must be a dual spacelike curve with a dual spacelike (or timelike) binormal vector. The relationship between the Frenet frames of the spacelike – timelike involute – evolute dual curve couple have been found and some new characterizations related to the couple of the dual curve have been given.
Copyright © 2013 Sümeyye Gür, Süleyman Åženyurt. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
S. Gür, S. Åženyurt, Spacelike – timelike involute – evolute curve couple on dual Lorentzian space, J. Math. Comput. Sci. 3 (2013), 1054–1075.
BibTeX
@article{Gür2013,
author = {Gür, Sümeyye and Åženyurt, Süleyman},
title = {Spacelike – timelike involute – evolute curve couple on dual Lorentzian space},
journal = {J. Math. Comput. Sci.},
volume = {3},
year = {2013},
pages = {1054--1075},
doi = {}
}