Generalized Helices and Singular Points

Document Type : Research Articles

Authors

1 Ankara,Turkey

2 Ankara University Department of Mathematics, 06100, Ankara, Turkey

Abstract

In this paper, we define X-slant helix in Euclidean 3-space and we obtain helix, slant helix, clad and g-clad helix as special case of the X-slant helix. Then we study Darboux, tangential darboux developable surfaces and their singular points. Especially we show that the striction lines of these surfaces are singular locus of the surfaces.

Keywords