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Communications in Advanced Mathematical Sciences
Article . 2020 . Peer-reviewed
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Smarandache Curves of the Evolute Curve According to Sabban Frame

Authors: Süleyman ŞENYURT; Yasin ALTUN;

Smarandache Curves of the Evolute Curve According to Sabban Frame

Abstract

The aim of this paper is to define Smarandache curves according to the Sabban frame belonging to the unit Darboux vector of spherical indicatrix curve of the evolute curve. Also, we calculate the geodesic curvatures of these curves. Finally, the results are expressed depending on the involute curve.

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Keywords

Matematik, sabban frame, involute curve, QA1-939, Darboux vector;Involute curve;Evolute curve;Geodesic curvature;Sabban frame;Smarandache curves, darboux vector, smarandache curves, geodesic curvature, Mathematical Sciences, Mathematics, evolute curve

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Top 10%
Top 10%
gold