Araştırma Makalesi
Yıl 2020,
Cilt: 33 Sayı: 3, 751 - 759, 01.09.2020
Öz
Kaynakça
- Referans 1 Hathout, F., Bekar, M., Yaylı, Y., “Ruled surfaces and tangent bundle of unit 2-sphere” International Journal of Geometric Methods in Modern Physics, 2: (2017).
- Referans 2 Bekar, M., Hathout, F., Yaylı, Y., “Tangent bundle of pseudo-sphere and ruled surfaces in Minkowski 3-space”, General Letters in Mathematics, 5: 58-70, (2018).
- Referans 3 Ergün, E., Çalışkan, M., “On natural lift of a curve”, Pure Mathematical Sciences, 2: 81-85, (2012).
Yıl 2020,
Cilt: 33 Sayı: 3, 751 - 759, 01.09.2020
Öz
This article deals with the isomorphism between unit dual sphere, DS^2, and the subset of the tangent bundle of unit 2-sphere, TM ̅. According to E. Study mapping, a ruled surface in〖 R〗^3corresponds to each curve on DS^2. Through this correspondence, a unique ruled surface in R^3is corresponded to natural lift curve on TM ̅. Then striction curve, shape operator, mean curvature and Gaussian curvature of these ruled surfaces obtained by the natural lift curves are calculated. Developabilitiy condition of these ruled surfaces is given. Finally, we give an example to support the main results.
Anahtar Kelimeler
Natural lift Tangent bundle Unit dual sphere Ruled surface Study’s map
Kaynakça
- Referans 1 Hathout, F., Bekar, M., Yaylı, Y., “Ruled surfaces and tangent bundle of unit 2-sphere” International Journal of Geometric Methods in Modern Physics, 2: (2017).
- Referans 2 Bekar, M., Hathout, F., Yaylı, Y., “Tangent bundle of pseudo-sphere and ruled surfaces in Minkowski 3-space”, General Letters in Mathematics, 5: 58-70, (2018).
- Referans 3 Ergün, E., Çalışkan, M., “On natural lift of a curve”, Pure Mathematical Sciences, 2: 81-85, (2012).
Toplam 3 adet kaynakça vardır.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Mühendislik |
| Bölüm | Mathematics |
| Yazarlar | |
| Yayımlanma Tarihi | 1 Eylül 2020 |
| Yayımlandığı Sayı | Yıl 2020 Cilt: 33 Sayı: 3 |