Timelike – spacelike involute – evolute curve couple on dual Lorentzian space
Abstract
In this paper, Firstly we have defined the involute curves of the dual spacelike curve with a dual spacelike binormal in dual Lorentzian space . We have seen that the dual involute curve must be a dual timelike vector. Secondly, the relationship between the Frenet frames of couple of the timelike –spacelike involute – evolute dual curve has been found and finally some new characterizations related to the couple of the dual curve has been given.
Copyright © 2012 Süleyman Åženyurt, Sümeyye Gür. 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. Åženyurt, S. Gür, Timelike – spacelike involute – evolute curve couple on dual Lorentzian space, J. Math. Comput. Sci. 2 (2012), 1808–1823.
BibTeX
@article{Åženyurt2012,
author = {Åženyurt, Süleyman and Gür, Sümeyye},
title = {Timelike – spacelike involute – evolute curve couple on dual Lorentzian space},
journal = {J. Math. Comput. Sci.},
volume = {2},
year = {2012},
pages = {1808--1823},
doi = {}
}