Direction curves of tangent indicatrix of a curve

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ŞAHİNER B.

Applied Mathematics and Computation, cilt.343, ss.273-284, 2019 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 343
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1016/j.amc.2018.09.021
  • Dergi Adı: Applied Mathematics and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.273-284
  • Anahtar Kelimeler: Associated curves, Direction curves, Helix, Slant helix, Spherical helix, Spherical slant helix
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this paper, we define some new associated curves as integral curves of a vector field generated by Frenet vectors of tangent indicatrix of a curve in Euclidean 3-space. We give some relationships between curvatures of these curves. By using these associated curves, we give some methods to construct helices and slant helices from some special spherical curves such as circles on unit sphere, spherical helices, and spherical slant helices. Finally, we give some related examples.