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

Year 2016, Volume: 1 Issue: 1, 14 - 25, 05.01.2016

Huseyin Kocayigit Muhammet Cetin Beyza Betul Pekacar

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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