On f-Eikonal Helices And f-Eikonal Slant Helices In Riemannian Manifolds

2012/11/21 by Ali Şenol, Şenol, Ali, Evren Ziplar +5 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Curvature #Differential Geometry (math.DG) #Eikonal equation #FOS: Mathematics #Geology #Geometric Analysis and Curvature Flows #Geometry #Helix (gastropod) #Manifold (fluid mechanics) #Mathematical analysis #Mathematical physics #Mathematics #Physics #Riemannian manifold #math.DG

paper · pdf · doi:10.48550/arxiv.1211.4960

arxiv created 2012/11/21 · openalex publication_date 2012/11/21 · arxiv updated 2012/11/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we define f-eikonal helix curves and f-eikonal V_n-slant helix curves in a n-dimensional Riemannian manifold. Also, we give the definition of harmonic curvature functions related to f-eikonal helix curves and f-eikonal V_n-slant helix curves in a n-dimensional Riemannian manifold. Moreover, we give characterizations for f-eikonal helix curves and f-eikonal V_n-slant helix curves by making use of the harmonic curvature functions.

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• A new kind of slant helix in Pseudo-Riemannian Manifolds

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