A new approach on curves of constant precession

摘要

In this paper, we investigate a curve whose spherical images (the tangent indicatrix and binormal indicatrix) are spherical slant helices and called it as a C−slant helix. This notation is a generalization of a slant helix and special case of k-slant helix defined by Ali (2012) . We obtain the axis of the curve and Theorem (3.5) via the alternative moving frame and the Sabban frame, respectively. Furthermore, we give some new characterizations of the C-slant helix and prove that a curve of C-constant precession is a C-slant helix.