Characterizations of dual spacelike curves of constant breadth in dual Lorentzian space D_1^3

Abstract

In this paper, we study dual curves of constant breadth in dual Lorentzian Space D₁³. We obtain the differential equations characterizing dual curves of constant breadth in  D₁³ and we introduce some special cases for these dual curves. Furthermore, we obtain that the total torsion of a closed dual spacelike curve of constant breadth is zero while the total torsion of a simple closed dual timelike curve is equal to 2nπ, (n ∈ Z). 

Keywords

• Dual Lorentzian space,, dual Frenet frame,dual curve of constant breadth

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