• Honam Mathematical Journal
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• v.42 no.3
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• pp.551-568
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• 2020

In this study, we construct timelike ruled surfaces whose Disteli-axis is constant in Minkowski 3-space 𝔼³₁. Then we attain a general system characterizing these surfaces, and also give necessary and sufficient conditions for a timelike ruled surface to get a constant Disteli-axis.

• Honam Mathematical Journal
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• v.41 no.1
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• pp.185-195
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• 2019

In this work, we study the conditions between null geodesic curves and timelike ruled surfaces in dual Lorentzian space. For this study, we establish a system of differential equations characterizing timelike ruled surfaces in dual Lorentzian space by using the invariant quantities of null geodesic curves on the given ruled surfaces. We obtain the solutions of these systems for special cases. Regarding to these special solutions, we give some results of the relations between null geodesic curves and timelike ruled surfaces in dual Lorentzian space.