Abstract:In this study, a brief summary about quaternions and quaternionic curves are firstly presented. Also, the definition of focal curve is given. The focal curve of a smooth curve consists of the centers of its osculating hypersphere. By using this definition and the quaternionic osculating hyperspheres of these curves, the quaternionic focal curves in the spaces Q and Q ν with index ν = {1, 2} are discussed. Some relations about spatial semireal quaternionic curves and semi-real quaternionic curves are examined b… Show more
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