On the Sabban frame belonging to involute-evolute curves

Senyurt S., Altun Y., Cevahir C., Kocayigit H.

Thermal Science, cilt.23, 2019 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 23
  • Basım Tarihi: 2019
  • Doi Numarası: 10.2298/tsci181130054s
  • Dergi Adı: Thermal Science
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Geodesic curvature, Involute-evolute curves, Sabban frame, Smarandache curves
  • İstanbul Gelişim Üniversitesi Adresli: Hayır

Özet

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.