Characterization of speherical helices in euclidean 3-space

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Atıf İçin Kopyala

Ekmekci N., Zeki Okuyucu O. Z., YAYLI Y.

Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, cilt.22, sa.2, ss.99-108, 2014 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 22 Sayı: 2
• Basım Tarihi: 2014
• Doi Numarası: 10.2478/auom-2014-0035
• Dergi Adı: Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.99-108
• Anahtar Kelimeler: Circle, Euclidean 3-spaces, General helices, Indicatrix
• Bilecik Şeyh Edebali Üniversitesi Adresli: Evet

Özet

In this paper, we calculate Frenet frames of the tangent indicatrix (t), principal normal indicatrix (n) and binormal indicatrix (b) of the curve α in ℝ3 which are spherical curves. Also, we give some differential equations which are characterizations for (t), (n) and (b) to be general helix. Morever we give a characterization for tangent indicatrix (t) to be a circle.