PRINCIPAL NORMAL INDICATRIX (N) OF CURVES ACCORDING TO THEIR ALTERNATIVE FRAMES IN EUCLIDEAN 3-SPACE

KOCAYİĞİT H., Adsoy C., Aydinalp M.

International Journal of Maps in Mathematics, cilt.8, sa.1, ss.74-84, 2025 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 1
  • Basım Tarihi: 2025
  • Dergi Adı: International Journal of Maps in Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.74-84
  • Anahtar Kelimeler: Alternative frame, Spherical indicatrix
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this paper, we define a new family of curves called principal normal indica-trix (briefly, PNI) of space curves with unit speed in 3-dimensional Euclidean space. During the definition, we use alternative frames and we give some conditions for space curves to be general helix, slant helix, plane curve or involute curve.