Some new types of associated curves in Euclidean 3-space
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, cilt.26, sa.1, ss.205-221, 2018 (SCI-Expanded, Scopus)
- 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.