An explicit characterization of spherical curves according to Bishop frame and an approximately solution

BALKI OKULLU P., KOCAYİĞİT H., Agirman Aydin T.

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

  • Publication Type: Article / Article
  • Volume: 23
  • Publication Date: 2019
  • Doi Number: 10.2298/tsci181101049b
  • Journal Name: Thermal Science
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Bernstein series solution method, Bishop frame, Spherical curve
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

In this paper, spherical curves are studied by using Bishop frame. First, the differential equation characterizing the spherical curves is given. Then, we exhibit that the position vector of a curve which is lying on a sphere satisfies a third-order linear differential equation. Then we solve this linear differential equation by using Bernstein series solution method.