NEW SPHERICAL INDICATRICES AND THEIR CHARACTERIZATIONS

YILMAZ S., Ozyilmaz E., Turgut M.

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, vol.18, no.2, pp.337-353, 2010 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 18 Issue: 2
  • Publication Date: 2010
  • Journal Name: ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.337-353
  • Keywords: Bishop Frame, Spherical Images, Regular Curves, General Helix, Slant Helix, Euclidean Space
  • Dokuz Eylül University Affiliated: Yes

Abstract

In this work, we introduce new spherical images by translating Bishop frame vectors of a regular curve to the center of the unit sphere of the three dimensional Euclidean space. Such curves are called as Bishop Spherical Indicatrices. Then, the Frenet-Serret apparatus of these new curves is obtained in terms of base curve's Bishop invariants. Additionally, illustrations of two examples are presented.