CHARACTERIZATIONS OF SOME SPECIAL QUATERNIONIC CURVES
Abstract
We derive a general differential equation satisfed by the distance function for quaternionic curves in Euclidean 4-space. By using this differential equation, we express characterizations of some special quaternionic curves such as spherical curves and rectifying curves. Lastly, we reconsider the characterization of a quaternionic general helix.
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DOI: https://doi.org/10.22190/FUMI220317049Y
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