On slant curves in normal almost contact metric 3-manifolds

Abstract

We study slant curves in almost contact metric 3-manifolds equipped with canonical connection \(\widetilde{\nabla }\). Moreover, we study slant curves in almost contact metric 3-manifolds whose mean curvature is proper with respect to the canonical connection, that is, \(\widetilde{\Delta }\widetilde{H}=\lambda \widetilde{H}\) or proper in the normal bundle, \(\widetilde{\Delta }^\perp \widetilde{H}=\lambda \widetilde{H}\).