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On D-pencil surface by using darboux frame in Minkowski 3-Space

open access: yes, 2019
In this paper, the D - Pencil surface is studied in Minkowski 3-space. By using Darboux Frame in Minkowski space, we give the necessary and sufficient condition for a pencil surface. Then, we obtain general conditions of each other different G(1), G(2), G(3) developable ruled surface with the line of curvature of the pencil surface.
Sariaydin, Muhammed T.   +1 more
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Geoemetric phases and magnetic curves for Darboux frames on lightlike and timelike surfaces

open access: yesJournal of Universal Mathematics
In this paper, we obtain ^{ND}E_{T} for null Darboux frame on timelike surface and derive V-magnetic curves for null Darboux frame on a timelike surface in the T-lines direction. Also, we present ^{¹GD}E_{T}, ^{^{²GD}}E_{T} for 1GDF, 2GDF on lightlike surfaces in the tangential direction.
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