Characterizations of space curves with 1-type Darboux instantaneous rotation vector

---

Atıf İçin Kopyala

ARSLAN K., KOCAYİĞİT H., Önder M.

Communications of the Korean Mathematical Society, cilt.31, sa.2, ss.379-388, 2016 (Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 31 Sayı: 2
• Basım Tarihi: 2016
• Doi Numarası: 10.4134/ckms.2016.31.2.379
• Dergi Adı: Communications of the Korean Mathematical Society
• Derginin Tarandığı İndeksler: Scopus
• Sayfa Sayıları: ss.379-388
• Anahtar Kelimeler: Darboux vector, Helix, Laplacian operator
• Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this study, by using Laplace and normal Laplace operators, we give some characterizations for the Darboux instantaneous rotation vector field of the curves in the Euclidean 3-space E3. Further, we give necessary and sufficient conditions for unit speed space curves to have 1-type Darboux vectors. Moreover, we obtain some characterizations of helices according to Darboux vector.