Article ID Journal Published Year Pages File Type
4630495 Applied Mathematics and Computation 2012 10 Pages PDF
Abstract

In this paper, we studied quaternionic slant helices which we called semi-real quaternionic B2 slant helix in four dimensional semi-Euclidean space E24. Also we define the harmonic curvature functions for semi-real quaternionic curves and we give a vector field D which we call Darboux quaternion for semi-real quaternionic B2 slant helix. And then we obtained some characterizations for semi-real quaternionic B2 slant helix in the terms of the harmonic curvatures and the Darboux vector field D.

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Physical Sciences and Engineering Mathematics Applied Mathematics
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