SavedAdd your journal

Journals / Conference Proceedings of Science and Technology / 2026 / Cilt: 2 Sayı: 2

On Developable Ruled Surfaces in Pseudo-Galilean Space

Mustafa Dede0000-0003-2652-637X
Cumali Ekici
Pages
148–152
Publication Date
2019-11-25
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Moreover, we derived the necessary conditions to construct a developable ruled surface in the pseudo-Galilean space.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we investigated the ruled surfaces in the three-dimensional pseudo-Galilean space.
📊
Key Findings & Data:We obtained the distribution parameter of the ruled surface by using the Frenet frame of directrix curve.
💡
Conclusion & Impact:Moreover, we derived the necessary conditions to construct a developable ruled surface in the pseudo-Galilean space.
🔬Design:Konferans Bildirisi
📍Scope:Comprehensive Sample
⚙️Variables:Developable · Distribution parameter · Pseudo-Galilean space

Abstract

In this paper, we investigated the ruled surfaces in the three-dimensional pseudo-Galilean space. We obtained the distribution parameter of the ruled surface by using the Frenet frame of directrix curve. Moreover, we derived the necessary conditions to construct a developable ruled surface in the pseudo-Galilean space.

🔖

Cite This Article

Dede, M., Ekici, C. (2019). On Developable Ruled Surfaces in Pseudo-Galilean Space. Conference Proceedings of Science and Technology, Cilt: 2 Sayı: 2, 148–152. https://ajindex.com/articles/1648742

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (17)

  1. M. Dede, Tubular surfaces in Galilean space, Math. Commun., 18 (2013), 209-217.
  2. M. Dede, C. Ekici, A. C. Cöken, On the parallel surfaces in Galilean space, Hacettepe Journal of Mathematics and Statistics, 42 (2013), 605-615.
  3. B. Divjak, Curves in pseudo-Galilean geometry, Annales Universitatis Scientiarum Budapest, 41 (1998), 117-128.
  4. B. Divjak, Z. Milin-Sipus, Special curves on ruled surfaces in Galilean and pseudo-Galilean space, Acta Math. Hungar.,98 (2003), 203-215.
  5. B. Divjak, Z. Milin-Sipus, Minding isometries of ruled surfaces in pseudo-Galilean space, J. Geom.,77 (2003), 35-47.
  6. C. Ekici, M. Dede, On the Darboux vector of ruled surfaces in pseudo-Galilean space, Math. and Comp. App., 16 (2011), 830-838.
  7. H. W. Guggenheimer, Differential geometry, New York: McGraw-Hill, 1963.
  8. I. Kamenarovic, Existence theorems for ruled surfaces in the Galilean Space G3, Rad HAZU Math., 456 (1991), 183-196.
  9. E. Kasap, S. Yüce, N. Kuruo˘glu, The Involute-Evolute Offsets of Ruled Surfaces, Iranian Journal of Science & Technology, Transaction A, 33 (2009), 195-201.
  10. Z. Milin-Sipus, Ruled Weingarten surfaces in Galilean space, Periodica Mathematica Hungarica, 56 (2008), 213-225.
  11. B. Ravani, T.S. Ku, Bertrand Offsets of ruled and developable surfaces, Comp. Aided Geom. Design,23 (1991), 145-152.
  12. O. M. Röschel, Die geometrie des Galileischen raumes, Leoben: Habilitationsschrift, 1984.
  13. B. S. Ryuh, G.R. Pennock, Accurate motion of Robot End-Effector using the curvature theory of ruled surfaces, Journal of Mechanisms, Transmissions, and Automation in Design, 10 (1988), 383-387.
  14. A. Turgut, H. H. Hacısaliho˘glu, Timelike ruled surfaces in the Minkowski 3-space, Far East J. Math. Sci.,5 (1997), 83-90.
  15. A. Turgut, H. H. Hacısaliho˘glu, Timelike ruled surfaces in the Minkowski 3-space II, Turkish J. Math. 22 (1998), 33-46.
  16. I. M. A. Yaglom, Simple non-Euclidean geometry and its physical basis, New York: Springer-Verlag, 1979.
  17. Y. Yaylı, On the motion of the Frenet vectors and spacelike ruled surfaces in the Minkowski 3-Space, Mathematical & Computational Applications, 5 (2000), 49-55.