Direction curves and construction of developable surfaces in Lorentz 3-space
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, cilt.74, sa.1, ss.47-55, 2025 (ESCI, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 74 Sayı: 1
- Basım Tarihi: 2025
- Doi Numarası: 10.31801/cfsuasmas.1395601
- Dergi Adı: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.47-55
- Anahtar Kelimeler: Developable surfaces, singular points, special curves
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Ankara Üniversitesi Adresli: Evet
Özet
In this work we investigate singularities for the three types of developable surfaces, introduced by Izumiya and Takeuchi, in Lorentz 3 space and give a local classification in terms of k-order frame. Moreover we search the necessary conditions of being a geodesic for principal direction curves of the rectifying developable surface.