NEW SPHERICAL INDICATRICES AND THEIR CHARACTERIZATIONS
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, cilt.18, sa.2, ss.337-353, 2010 (SCI-Expanded, Scopus)
- 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.