A new approach on curves of constant precession

Uzunoglu B., GÖK İ., YAYLI Y.

APPLIED MATHEMATICS AND COMPUTATION, cilt.275, ss.317-323, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 275
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1016/j.amc.2015.11.083
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.317-323
  • Anahtar Kelimeler: Slant helix, A curve of constant precession, Spherical indicatrix, SLANT HELICES
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we investigate a curve whose spherical images (the tangent indicatrix and binormal indicatrix) are spherical slant helices and called it as a C-slant helix. This notation is a generalization of a slant helix and special case of k-slant helix defined by Ali (2012). We obtain the axis of the curve and Theorem (3.5) via the alternative moving frame and the Sabban frame, respectively. Furthermore, we give some new characterizations of the C-slant helix and prove that a curve of C-constant precession is a C-slant helix. (C) 2015 Elsevier Inc. All rights reserved.