A NOTE ON BERTRAND CURVES AND CONSTANT SLOPE SURFACES ACCORDING TO DARBOUX FRAME

In [Int. J. Phys. Sci., 6(2011), No. 8, 1868-1875], Babaarslan and Yayli studied constant slope surfaces and Bertrand curves in Euclidean 3-space. They found parametrization of constant slope surfaces for spherical indicatrices of a space curve. Furthermore, they investigated Bertrand curves corresponding to parameter curves of constant slope surfaces. In this work, we give some different characterizations of Bertrand curves and constant slope surfaces with respect to the Darboux frame. Subsequently, we express some interesting relations and illustrate some examples of our main results.