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Dergiler / Turkish Journal of Mathematics and Computer Science / 2020 / Volume: 12 Issue: 2

Timelike Ruled Surfaces in de-Sitter 3-Space

Tuğba Mert(CUMHURİYET ÜNİVERSİTESİ)0000-0001-8258-8298
Sayfa
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Yayın Tarihi
2020-12-31
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı:Developable ruled surface, striction point, striction curve, dispersion parameter and orthogonal trajectory concepts are investigated for the obtained ruled surface.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

Mert, T. (2020). Timelike Ruled Surfaces in de-Sitter 3-Space. Turkish Journal of Mathematics and Computer Science, Volume: 12 Issue: 2. https://doi.org/10.47000/tjmcs.734243

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Kaynakça (8)

  1. Kasedou, M., Spacelike submanifolds in de sitter space, Demonstratio Mathematica, XLIII(2)(2010), 401--418.
  2. Mert,T., Spacelike ruled surfaces in hyperbolic 3-space, Cumhuriyet Sci. J., 39(2)(2018), 314--324.
  3. O'Neill, B., Semi-Riemannian Geometry with Applications to Relativity, Academic Press, New York, 1983.
  4. Ratcliffe, J., Foundations of Hyperbolic Manifolds, Springer, 1994.
  5. Sabuncuoğllu, A., Generelized Ruled Surface, Associate Proffesorshiph Thesis, Ankara University, 1982.
  6. Thas, C., A gauss map on hypersurfaces of submanifolds in Euclidean spaces, J.Korean Math. Soc., 16(1)(1979), 17--27.
  7. Turgut, A., Spacelike and Timelike Ruled Surface on the Minkowski 3-Space, Ph. D. Thesis, Ankara University, 1995.
  8. Turgut, A., Hacısalihoğlu, H., Timelike ruled surface in the Minkowski 3-space, Far East J. Math. Sci., 5(1)(1997), 83--90.