On the Quaternionic Curves in the Semi-Euclidean Space E₂⁴

2013/11/03 by Tülay Soyfidan, Soyfidan, Tülay, Mehmet Ali Güngör +1
Mathematics · #11R52 #53A04 #53C50 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:11R52 #msc:53A04 #msc:53C50

paper · pdf · doi:10.48550/arxiv.1311.0518

12 pages, 2 figures

arxiv created 2013/11/03 · arxiv updated 2013/11/05

Abstract

In this study, we try to semi-real quaternionic curves in the semi-Euclidean space E₂⁴. Firstly, we introduce algebraic properties of semi-real quaternions. And then, we give some characterizations of semi-real quaternionic involute-evolute curves in the semi-Euclidean space E₂⁴. Lastly, we illustrate some examples and draw their figures with Mathematica Programme.

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