Spacelike – timelike involute – evolute curve couple on dual Lorentzian space

Sümeyye Gür, Süleyman Şenyurt

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.

Full Text: PDF

How to Cite this Article:

Sümeyye Gür, Süleyman Şenyurt, Spacelike – timelike involute – evolute curve couple on dual Lorentzian space, Journal of Mathematical and Computational Science, Vol 3, No 4 (2013), 1054-1075

Copyright © 2013 Sümeyye Gür, Süleyman Şenyurt. 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.

J. Math. Comput. Sci.

ISSN: 1927-5307

Editorial Office: jmcs@scik.org

 

Copyright ©2019 JMCS