Bertrand Curves of AW(k)‎-Type in the Equiform Geometry of the Galilean Space

الملخص EN

We consider curves of AW(k)-type (1≤k≤3) in the equiform geometry of the Galilean space G3.

We give curvature conditions of curves of AW(k)-type.

Furthermore, we investigate Bertrand curves in the equiform geometry of G3.

We have shown that Bertrand curve in the equiform geometry of G3 is a circular helix.

Besides, considering AW(k)-type curves, we show that there are Bertrand curves of weak AW(2)-type and AW(3)-type.

But, there are no such Bertrand curves of weak AW(3)-type and AW(2)-type.