Curves and helix hypersurfaces in Euclidean spaces

Document Type: Research articles


1 The university of Çankırı Karatekin

2 The university of Ankara


In this paper, we investigate the special curves and the ruled surfaces on the helix hypersurface whose tangent space makes constant angle with a fixed direction in Euclidean -space and give requirement of being developable of the ruled surfaces. Also, we construct the helix surface generated by a plane curve in Euclidean 3-space and give requirement of being a minimal surface of the surface.