Characterizations of Adjoint Curves in Euclidean 3-Space

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Atıf İçin Kopyala

Nurkan S., Güven İ. A., KARACAN M. K.

Proceedings of the National Academy of Sciences India Section A - Physical Sciences, cilt.89, sa.1, ss.155-161, 2019 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 89 Sayı: 1
• Basım Tarihi: 2019
• Doi Numarası: 10.1007/s40010-017-0425-y
• Dergi Adı: Proceedings of the National Academy of Sciences India Section A - Physical Sciences
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.155-161
• Anahtar Kelimeler: Adjoint curves, Ruled surface, Tubular surface
• Uşak Üniversitesi Adresli: Evet

Özet

The characterizations of adjoint curves of a space curve in Euclidean 3-space have been done in the present study. A curve and its adjoint curve create new pairs like Bertrand and involute-evolute curves are obtained. Ruled surfaces such as normal and binormal surface with a base curve and adjoint of base curve are defined here. Tubular surface whose spine curve is an adjoint curve, is also defined.