CHARACTERIZATIONS OF SPACE CURVES WITH 1-TYPE DARBOUX INSTANTANEOUS ROTATION VECTOR

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Atıf İçin Kopyala

ARSLAN K., Kocayigit H., Onder M.

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, cilt.31, sa.2, ss.379-388, 2016 (ESCI)

• 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: Emerging Sources Citation Index (ESCI), Scopus
• Sayfa Sayıları: ss.379-388
• Bursa Uludağ 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 E-3. 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.