M.Sc. Tezi Görüntüleme

      In this thesis, it is firstly shown that it can be constructed cylindrical helices from the planar curves and Bertrand curves from the spherical curves in 3 dimensional Euclidean space. By using this method, the Bertrand curves corresponding to the spherical indicatrices of a space curve, are investigated. Also, the planar evolute of a cylindrical helice and the spherical evolute of a spherical curve, are studied. The method in Euclidean space is carried to the Minkowski space and it’s shown that it can be constructed Bertrand curves from the spherical curves in 3 dimensional Minkowski space, too. Also, the hyperbolic evolute of a spherical curve in E_1^3 is studied. Finally, the Bertrand curves corresponding to the spherical indicatrices of spacelike and timelike curves, are investigated.