On the Sabban frame belonging to involute-evolute curves

In this paper, we investigate special Smarandache curves with regard to Sabban frame of involute curve. We create Sabban frame belonging to spherical indicatrix of involute curve. Smarandache curves are explained by Sabban vectors belonging to spherical indicatrix. Then, we calculate geodesic curvat...

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Veröffentlicht in:Thermal science 2019, Vol.23 (Suppl. 1), p.413-425
Hauptverfasser: Senyurt, Suleyman, Altun, Yasin, Cevahir, Ceyda, Kocayigit, Huseyin
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we investigate special Smarandache curves with regard to Sabban frame of involute curve. We create Sabban frame belonging to spherical indicatrix of involute curve. Smarandache curves are explained by Sabban vectors belonging to spherical indicatrix. Then, we calculate geodesic curvatures of this Smarandache curves. The results found for each curve is given depending on evolute curve. The example related to the subject is given and their figures are drawn with MAPPLE program. nema
ISSN:0354-9836
2334-7163
DOI:10.2298/TSCI181130054S