SLANT HELICES ALONG ISOTROPIC RIEMANNIAN MAPS

Abstract

This paper aims to introduce the slant helix notion along isotropic
Riemannian map. The necessary conditions for a curve along isotropic Riemannian
maps to be a slant helix are obtained in terms of dierential equations.
In addition, certain conditions were found for the slant helix along an isotropic
Riemannian map to be a slant helix in the ambient space. The characterizations
are obtained for the transportation of slant helices and helices on the
total manifold to the target manifold along a Riemannian map (or vice versa).