Magnetic Curves in Homothetic s-th Sasakian Manifolds

Abstract

We investigate normal magnetic curves in (2n+s)-dimensional homothetic s-th Sasakian manifolds as a generalization of S-manifolds. We show that a curve gamma is a normal magnetic curve in a homothetic s-th Sasakian manifold if and only if its osculating order satisfies r <= 3 and it belongs to a family of theta i-slant helices. Additionally, we construct a homothetic s-th Sasakian manifold using generalized D-homothetic transformations and present the parametric equations of normal magnetic curves in this manifold.