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arxiv: 1205.1368 · v2 · pith:WG43G6EOnew · submitted 2012-05-07 · 🧮 math.DG

Quaternionic Salkowski Curves and Quaternionic Similar Curves

classification 🧮 math.DG
keywords quaternioniccurveshelicessalkowskisimilaranti-salkowskib2-slantcharacterizations
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In this paper, we give the definitions and characterizations of quaternionic Salkowski, quaternionic anti-Salkowski and quaternionic similar curves in the Euclidean spaces E^3 and E^4. We obtain relationships between these curves and some special quaternionic curves such as quaternionic slant helices and quaternionic B2-slant helices.

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