On slant helix and its spherical indicatrix

Abstract

In this paper we investigate spherical images the tangent indicatrix and binormal indicatrix of a slant helix. We obtain that the spherical images are spherical helices. Moreover, we show that a curve of constant precession is a slant helix. For involute of a curve γ, we have obtain that γ is a slant helix if and only if its involute is a general helix.