C-parallel mean curvature vector fields along slant curves in Sasakian 3-manifolds

Abstract

In this article, using the example of C. Camci([7]) we reconfirm necessary sufficient condition for a slant curve. Next, we find some necessary and sufficient conditions for a slant curve in a Sasakian 3-manifold to have: (i) a C-parallel mean curvature vector field; (ii) a C-proper mean curvature vector field (in the normal bundle).