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Journals / Turkish Journal of Mathematics and Computer Science / 2020 / Cilt: 12 - Sayı: 2

Timelike Ruled Surfaces in de-Sitter 3-Space

Tuğba MERT
Pages
166–175
DOI
—
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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 ruled surface.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, timelike ruled surfaces are studied 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:In this paper, timelike ruled surfaces are studied 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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Conclusion & Impact:Developable ruled surface, striction point, striction curve, dispersion parameter and orthogonal trajectory concepts are investigated for the obtained ruled surface.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Straight Geodesic · Base Curve · Central Point

Abstract

In this paper, timelike ruled surfaces are studied 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. Developable ruled surface, striction point, striction curve, dispersion parameter and orthogonal trajectory concepts are investigated for the obtained ruled surface.

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Cite This Article

MERT, T. (2020). Timelike Ruled Surfaces in de-Sitter 3-Space. Turkish Journal of Mathematics and Computer Science, Cilt: 12 - Sayı: 2, 166–175. https://ajindex.com/articles/374648

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References (5)

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  4. Thas, C., A gauss map on hypersurfaces of submanifolds in Euclidean spaces, J.Korean Math. Soc., 16(1)(1979), 17--27. Turgut, A., Spacelike and Timelike Ruled Surface on the Minkowski 3-Space, Ph. D. Thesis, Ankara University, 1995.
  5. Turgut, A., Hacısalihoğlu, H., Timelike ruled surface in the Minkowski 3-space, Far East J. Math. Sci., 5(1)(1997), 83--90.