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Year 2020, Volume: 12 Issue: 2, 166 - 175, 31.12.2020
https://doi.org/10.47000/tjmcs.734243

Abstract

References

  • Kasedou, M., Spacelike submanifolds in de sitter space, Demonstratio Mathematica, XLIII(2)(2010), 401--418.
  • Mert,T., Spacelike ruled surfaces in hyperbolic 3-space, Cumhuriyet Sci. J., 39(2)(2018), 314--324.
  • O'Neill, B., Semi-Riemannian Geometry with Applications to Relativity, Academic Press, New York, 1983.
  • Ratcliffe, J., Foundations of Hyperbolic Manifolds, Springer, 1994.
  • Sabuncuoğllu, A., Generelized Ruled Surface, Associate Proffesorshiph Thesis, Ankara University, 1982.
  • 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.
  • Turgut, A., Hacısalihoğlu, H., Timelike ruled surface in the Minkowski 3-space, Far East J. Math. Sci., 5(1)(1997), 83--90.

Timelike Ruled Surfaces in de-Sitter 3-Space

Year 2020, Volume: 12 Issue: 2, 166 - 175, 31.12.2020
https://doi.org/10.47000/tjmcs.734243

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.

References

  • Kasedou, M., Spacelike submanifolds in de sitter space, Demonstratio Mathematica, XLIII(2)(2010), 401--418.
  • Mert,T., Spacelike ruled surfaces in hyperbolic 3-space, Cumhuriyet Sci. J., 39(2)(2018), 314--324.
  • O'Neill, B., Semi-Riemannian Geometry with Applications to Relativity, Academic Press, New York, 1983.
  • Ratcliffe, J., Foundations of Hyperbolic Manifolds, Springer, 1994.
  • Sabuncuoğllu, A., Generelized Ruled Surface, Associate Proffesorshiph Thesis, Ankara University, 1982.
  • 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.
  • Turgut, A., Hacısalihoğlu, H., Timelike ruled surface in the Minkowski 3-space, Far East J. Math. Sci., 5(1)(1997), 83--90.
There are 8 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Tuğba Mert 0000-0001-8258-8298

Publication Date December 31, 2020
Published in Issue Year 2020 Volume: 12 Issue: 2

Cite

APA Mert, T. (2020). Timelike Ruled Surfaces in de-Sitter 3-Space. Turkish Journal of Mathematics and Computer Science, 12(2), 166-175. https://doi.org/10.47000/tjmcs.734243
AMA Mert T. Timelike Ruled Surfaces in de-Sitter 3-Space. TJMCS. December 2020;12(2):166-175. doi:10.47000/tjmcs.734243
Chicago Mert, Tuğba. “Timelike Ruled Surfaces in De-Sitter 3-Space”. Turkish Journal of Mathematics and Computer Science 12, no. 2 (December 2020): 166-75. https://doi.org/10.47000/tjmcs.734243.
EndNote Mert T (December 1, 2020) Timelike Ruled Surfaces in de-Sitter 3-Space. Turkish Journal of Mathematics and Computer Science 12 2 166–175.
IEEE T. Mert, “Timelike Ruled Surfaces in de-Sitter 3-Space”, TJMCS, vol. 12, no. 2, pp. 166–175, 2020, doi: 10.47000/tjmcs.734243.
ISNAD Mert, Tuğba. “Timelike Ruled Surfaces in De-Sitter 3-Space”. Turkish Journal of Mathematics and Computer Science 12/2 (December 2020), 166-175. https://doi.org/10.47000/tjmcs.734243.
JAMA Mert T. Timelike Ruled Surfaces in de-Sitter 3-Space. TJMCS. 2020;12:166–175.
MLA Mert, Tuğba. “Timelike Ruled Surfaces in De-Sitter 3-Space”. Turkish Journal of Mathematics and Computer Science, vol. 12, no. 2, 2020, pp. 166-75, doi:10.47000/tjmcs.734243.
Vancouver Mert T. Timelike Ruled Surfaces in de-Sitter 3-Space. TJMCS. 2020;12(2):166-75.