Some Characterizations of Quaternionic Rectifying Curves in the semi_Euclidean Space E²₄

2013/11/04 by Tülay Soyfidan, Soyfidan, Tülay, Mehmet Ali̇ Güngör +2
Mathematics · Physics and Astronomy · #11R52 #53A04 #53C50 #Advanced Differential Geometry Research #Algebraic and Geometric Analysis #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #math.GT #msc:11R52 #msc:53A04 #msc:53C50

paper · pdf · doi:10.48550/arxiv.1311.0617

17 pages

arxiv created 2013/11/04 · openalex publication_date 2013/11/04 · arxiv updated 2013/11/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The notion of rectifying curve in the Euclidean space is introduced by Chen as a curve whose position vector always lies in its rectifying plane spanned by the tangent and the binormal vector field t and n₂ of the curve. In this study, we have obtained some characterizations of semi-real spatial quaternionic rectifying curves in R₁³. Moreover, by the aid of these characterizations, we have investigated semi real quaternionic rectifying curves in semi-quaternionic space Q_v.

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