Slant null curves on normal almost contact B-metric 3-manifolds with parallel Reeb vector field

Galia Nakova; Hristo Manev

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arXiv · 1511.08037

Slant null curves on normal almost contact B-metric 3-manifolds with parallel Reeb vector field

Galia Nakova·Hristo Manev

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Abstract

In this paper we study slant null curves with respect to the original parameter on 3-dimensional normal almost contact B-metric manifolds with parallel Reeb vector field. We prove that for non-geodesic such curves there exists a unique Frenet frame for which the original parameter is distinguished. Moreover, we obtain a necessary condition this Frenet frame to be a Cartan Frenet frame with respect to the original parameter. Examples of the considered curves are constructed.

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Galia Nakova, Hristo Manev. 2015-11-25. Slant null curves on normal almost contact B-metric 3-manifolds with parallel Reeb vector field. https://arxiv.org/abs/1511.08037

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