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Journals / Fundamental Journal of Mathematics and Applications / 2026 / Volume: 4 Issue: 3

Special Ruled Surface in de-Sitter 3-Space

Tuğba Mert(CUMHURİYET ÜNİVERSİTESİ)0000-0001-8258-8298
Mehmet Atçeken(AKSARAY ÜNİVERSİTESİ)0000-0001-8665-5945
Pages
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Publication Date
2021-09-30
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AI Summary & Key Takeaways

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

Developable ruled surface, striction point, striction curve, dispersion parameter, and orthogonal trajectory concepts are investigated for the obtained geodesic ruled surface.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, timelike base curve and spacelike main geodesic with the timelike ruled surface are studied, which is a special class of ruled surface in de-Sitter space $S_{1}^{3}.$ A ruled surface in the de-Sitter space $S_{1}^{3}$ is obtained by moving a geodesic along a curve.
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Key Findings & Data:So we will call these surfaces in the de-Sitter space as the geodesic ruled surface.
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Conclusion & Impact:Developable ruled surface, striction point, striction curve, dispersion parameter, and orthogonal trajectory concepts are investigated for the obtained geodesic ruled surface.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Straight Geodesic · Base curve · Central Point

Abstract

In this paper, timelike base curve and spacelike main geodesic with the timelike ruled surface are studied, which is a special class of ruled surface in de-Sitter space $S_{1}^{3}.$ A ruled surface in the de-Sitter space $S_{1}^{3}$ is obtained by moving a geodesic along a curve. So we will call these surfaces in the de-Sitter space as the geodesic ruled surface. Developable ruled surface, striction point, striction curve, dispersion parameter, and orthogonal trajectory concepts are investigated for the obtained geodesic ruled surface.

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Cite This Article

Mert, T., Atçeken, M. (2021). Special Ruled Surface in de-Sitter 3-Space. Fundamental Journal of Mathematics and Applications, Volume: 4 Issue: 3. https://doi.org/10.33401/fujma.933725

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References (10)

  1. A. Turgut, H. Hacısaliho˘glu, Timelike ruled surface in the Minkowski-3 space, Far East J. Math. Sci., 5(1) (1997), 83-90.
  2. A. Turgut, Spacelike and Timelike Ruled Surface on the Minkowski 3-Space, Ph. D. Thesis, Ankara University, 1995.
  3. A. Sabuncuo˘glu, Generalized Ruled Surface, Associate Professorship Thesis, Ankara University, 1982.
  4. T. Mert, Spacelike Ruled Surfaces in Hyperbolic 3􀀀Space, Cumhuriyet Sci. J., 39(2) (2018), 314-324.
  5. J. Ratcliffe, Foundations of Hyperbolic Manifolds, New York, USA, 2006.
  6. B. O’Neill, Semi-Riemannıan Geometry with applıcations to relativity, Academic Press, New York, 1983.
  7. M. Kasedou, Spacelike submanifolds in de Sitter space, Demonstratio Mathematica, XLIII (2010), 401-418.
  8. T. Mert, B. Karlı˘ga, Constant Angle Surface in Hyperbolic and de-Sitter 3-Spaces, Ph. D. Thesis, Gazi University, 2014.
  9. C. Thas, A gauss map on hypersurfaces of submanıfolds ın Euclıdean spaces, J.Korean Math.Soc., 16(1) (1979), 17-27.
  10. B. Karlı˘ga, On The Generalized Stereographic Projection, Beitr Algebra Geom., 37(2) (1996), 329-336.