Quaternionic Similar Curves in 4-dimensional Euclidean Space

2012/05/18 by Mehmet Önder, Önder, Mehmet
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Algebraic and Geometric Analysis #Advanced Differential Geometry Research

paper · pdf · doi:10.48550/arxiv.1205.4137

Abstract

In this paper, we introduce the quaternionic similar curves in 4-dimensional Euclidean space. We show that the families of quaternionic curves with vanishing curvatures form the families of quaternionic similar curves.

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