NEW SPHERICAL INDICATRICES AND THEIR CHARACTERIZATIONS

YILMAZ S., Ozyilmaz E., Turgut M.

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, cilt.18, sa.2, ss.337-353, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 2
  • Basım Tarihi: 2010
  • Dergi Adı: ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.337-353
  • Anahtar Kelimeler: Bishop Frame, Spherical Images, Regular Curves, General Helix, Slant Helix, Euclidean Space
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

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.