Some new types of associated curves in Euclidean 3-space

Ozdogan S., TUNCER O. O., GÖK İ., YAYLI Y.

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, cilt.26, sa.1, ss.205-221, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Sayı: 1
  • Basım Tarihi: 2018
  • Doi Numarası: 10.2478/auom-2018-0013
  • Dergi Adı: ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.205-221
  • Anahtar Kelimeler: Integral curve, general helix, slant helix, C-slant helix, associated curves, 3-DIMENSIONAL LIE-GROUPS, CONSTANT PRECESSION
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we introduce the concept of D-direction curve and C-direction curve of a given curve using the alternative frame {N, C, W} in Euclidean 3-space. Furthermore, we define a (N, C) plane curve, a (N, W) plane curve and a (C, W) plane curve of a given curve, and give some results related to them. Finally, we present some illustrated examples for new associated curves.