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).