Abstract
In this paper, we define eikonal helix curves and eikonal \(V_{n}\)-slant helix curves in an n-dimensional Riemannian manifold. In addition, we give the definition of harmonic curvature functions related to eikonal helix curves and eikonal \(V_{n}\)-slant helix curves in an n-dimensional Riemannian manifold. Moreover, we give conclusions for eikonal helix curves and eikonal \(V_{n}\)-slant helix curves by making use of the harmonic curvature functions.
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Ziplar, E., Yayli, Y. Eikonal Helices and Harmonic Curvatures in Riemannian Manifolds. Iran J Sci Technol Trans Sci 42, 753–761 (2018). https://doi.org/10.1007/s40995-016-0038-3
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DOI: https://doi.org/10.1007/s40995-016-0038-3