Surfaces Family With Common Smarandache Asymptotic Curve

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Atıf İçin Kopyala

Şaffak Atalay G., Kasap E.

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, cilt.34, sa.1, ss.9-20, 2016 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 34 Sayı: 1
• Basım Tarihi: 2016
• Doi Numarası: 10.5269/bspm.v34i1.24392
• Dergi Adı: BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
• Sayfa Sayıları: ss.9-20
• Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this paper, we analyzed the problem of consructing a family of surfaces from a given some special Smarandache curves in Euclidean 3-space. Using the Frenet frame of the curve in Euclidean 3-space, we express the family of surfaces as a linear combination of the components of this frame, and derive the necessary and sufficient conditions for coefficents to satisfy both the asymptotic and isoparametric requirements. Finally, examples are given to show the family of surfaces with common Smarandache curve.