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arxiv: 1204.5876 · v4 · pith:RKPQ4JEOnew · submitted 2012-04-26 · 🧮 math.DG

Special involute-evolute partner D-curves in E3

classification 🧮 math.DG
keywords curvesinvolute-evoluteaccountcurvaturesd-curvesgeodesicpartnerspecial
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In this paper, we take into account the opinion of involute-evolute curves which lie on fully surfaces and by taking into account the Darboux frames of them we illustrate these curves as special involute-evolute partner D-curves in E3. Besides, we find the relations between the normal curvatures, the geodesic curvatures and the geodesic torsions of these curves. Finally, some consequences and examples are given.

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