Öz
Kaynakça
- A.T. Ali, H.S. Aziz, A.H. Sorour, Ruled Surfaces Generated by Some Special Curves in Euclidean 3-space, Journal of the Egyp. Math. Soc., 21, pp.285-294 (2013).
- A.T. Ali, Position Vectors of Curves in the Galilean Space G3 Matematiqki Vesnik, 64(3), pp.200-210 (2012).
- M.E. Aydın, M.A. Kulahci, A.O. Ogrenmis, Constant curvature translation surfaces in Galilean 3-space. International Electronic Journal of Geometry. 12(1), pp.9-19 (2019).
- B. Divjak and Z. Milin-Sipus, Special curves on ruled surfaces in Galilean and pseudo-Galilean space, Acta Math. Hungar. 98, pp.175-187, (2003).
- M. Dede, Tubular surfaces in Galilean space, Math. Commun. 18, pp.209-217, (2013).
- M. Dede, Tube surfaces in pseudo-Galilean space, Int. J. Geom. Methods Mod. Phys., 13, pp.10-16 (2016).
- M. Dede, C. Ekici, W. Goemans, Y. Unluturk, Twisted surfaces with vanishing curvature in Galilean 3-space, Int. J. Geom. Methods Mod. Phys., 15(1), 1850001, 13pp. (2018).
- M. Dede, C. Ekici, W. Goemans, Surfaces of revolution with vanishing curvature in Galilean 3-space, J. Math. Phys. Anal. Geom. 14, no. 2, pp.141-152, (2018).
- F. Dillen and W. Sodsiri, Ruled surfaces of Weingarten type in Minkowski 3-space, J. Geom. 83, pp.10-21, (2005).
- O. Gursoy, On the integral invariants of a closed ruled surface, J. Geom. 39, pp.80-91, (1990).
- Z.M. Sipus and B. Divjak, Surfaces of constant curvature in the pseudo-Galilean space, Int. J. Math. Sci., 12, pp.1-28, (2012).
- B.J. Pavkovic and I. Kamenarovic, The equiform differential geometry of curves in the Galilean space G3, Glasnik Matematicki, 22(42), pp.449-457, (1987).
- A. Turgut and H.H. Hacisalihoglu, Spacelike ruled surfaces in the Minkowski 3-space, Commun. Fac. Sci. Univ. Ank. Ser. Math. Stat., 46, pp.83-91, (1997).
- C.E. Weatherburn, Differential geometry of three dimensions, Syndic of Cambridge University press, (1981).
Öz
The object of this paper is to investigate the properties of the ruled surface which direction vector has a constant slope with osculator plane of the base curve in Galiean $3-$space. We obtain some properties of this kind of ruled surface by calculating the geometric invariants. Also, we give an application on the example and their graphs are visualized by using the Mathematica program.
Anahtar Kelimeler
Ruled surface Constant slope surface Striction curve Developable surface Minimal surface.
Kaynakça
- A.T. Ali, H.S. Aziz, A.H. Sorour, Ruled Surfaces Generated by Some Special Curves in Euclidean 3-space, Journal of the Egyp. Math. Soc., 21, pp.285-294 (2013).
- A.T. Ali, Position Vectors of Curves in the Galilean Space G3 Matematiqki Vesnik, 64(3), pp.200-210 (2012).
- M.E. Aydın, M.A. Kulahci, A.O. Ogrenmis, Constant curvature translation surfaces in Galilean 3-space. International Electronic Journal of Geometry. 12(1), pp.9-19 (2019).
- B. Divjak and Z. Milin-Sipus, Special curves on ruled surfaces in Galilean and pseudo-Galilean space, Acta Math. Hungar. 98, pp.175-187, (2003).
- M. Dede, Tubular surfaces in Galilean space, Math. Commun. 18, pp.209-217, (2013).
- M. Dede, Tube surfaces in pseudo-Galilean space, Int. J. Geom. Methods Mod. Phys., 13, pp.10-16 (2016).
- M. Dede, C. Ekici, W. Goemans, Y. Unluturk, Twisted surfaces with vanishing curvature in Galilean 3-space, Int. J. Geom. Methods Mod. Phys., 15(1), 1850001, 13pp. (2018).
- M. Dede, C. Ekici, W. Goemans, Surfaces of revolution with vanishing curvature in Galilean 3-space, J. Math. Phys. Anal. Geom. 14, no. 2, pp.141-152, (2018).
- F. Dillen and W. Sodsiri, Ruled surfaces of Weingarten type in Minkowski 3-space, J. Geom. 83, pp.10-21, (2005).
- O. Gursoy, On the integral invariants of a closed ruled surface, J. Geom. 39, pp.80-91, (1990).
- Z.M. Sipus and B. Divjak, Surfaces of constant curvature in the pseudo-Galilean space, Int. J. Math. Sci., 12, pp.1-28, (2012).
- B.J. Pavkovic and I. Kamenarovic, The equiform differential geometry of curves in the Galilean space G3, Glasnik Matematicki, 22(42), pp.449-457, (1987).
- A. Turgut and H.H. Hacisalihoglu, Spacelike ruled surfaces in the Minkowski 3-space, Commun. Fac. Sci. Univ. Ank. Ser. Math. Stat., 46, pp.83-91, (1997).
- C.E. Weatherburn, Differential geometry of three dimensions, Syndic of Cambridge University press, (1981).
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Matematik |
| Bölüm | Araştırma Makalesi |
| Yazarlar | |
| Yayımlanma Tarihi | 31 Temmuz 2021 |
| Gönderilme Tarihi | 15 Haziran 2021 |
| Kabul Tarihi | 26 Temmuz 2021 |
| Yayımlandığı Sayı | Yıl 2021 Cilt: 4 Sayı: 2 |
