On the natural lift curves for the involute spherical indicatrices in Minkowski 3-space

M. Bilici; T.A. Ahmad

doi:10.26637/mjm502/019

Abstract

This study presents some new conditions of being integral curve for the geodesic spray of the natural lift curves of the spherical indicatrices of the involutes of a given spacelike curve with a timelike binormal in Minkowski 3-space. Furthermore, depending on these conditions some interesting results about the spacelike evolute curve were obtained. Additionally we illustrate an example of our main results.

Keywords:

Minkowski space, involute-evolute curve couple, geodesic spray, natural lift curve, spherical indicatrix

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

M. Bilici Ondokuz Mayıs University, Education Faculty, Department of Mathematics, 55200, Samsun, Turkey. https://orcid.org/0000-0002-3502-5027
T.A. Ahmad King Abdul Aziz University, Faculty of Science, Department of Mathematics, 80203, Jeddah, Saudi Arabia.

Pages: 407-415
Date Published: 01-04-2017
Vol. 5 No. 02 (2017): Malaya Journal of Matematik (MJM)

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