NORMAL DEVELOPABLE SURFACES OF A SURFACE ALONG A DIRECTION CURVE

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Abdel-Baky R. A., ÜNLÜTÜRK Y.

Journal of the Indonesian Mathematical Society, cilt.26, sa.3, ss.319-333, 2020 (ESCI, Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 26 Sayı: 3
• Basım Tarihi: 2020
• Doi Numarası: 10.22342/jims.26.3.872.319-333
• Dergi Adı: Journal of the Indonesian Mathematical Society
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
• Sayfa Sayıları: ss.319-333
• Anahtar Kelimeler: Normal developable surfaces, Curves on surfaces, Ruled surfaces, Direction curve, Singularities
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Kırklareli Üniversitesi Adresli: Evet

Özet

We construct a developable surface normal to a surface along a curve on the surface. We choose the curve as the normal direction curve on which the new surface is formed in Euclidean space. We obtain some results about the uniqueness and the singularities of such developable surfaces. We also give two invariants of curves on a surface which characterize singularities.