Bertrand curves of AW(k)-type in Lorentzian space Review Article

In this study, firstly, we give curvature conditions of AW(k)-type (1≤k≤31≤k≤3) curves. Then considering AW(k)-type curves, we investigate Bertrand curves γ:I→L3γ:I→L3 with κ1(s)≠0κ1(s)≠0 and κ2(s)≠0κ2(s)≠0. We show that there are Bertrand curves of AW(1)-type and AW(3)-type. Moreover, we study weak AW(2)-type and AW(3)-type conical geodesic curves in L3L3.