Research Article

Timelike Ruled Surfaces in de-Sitter 3-Space

Volume: 12 Number: 2 December 31, 2020
EN

Timelike Ruled Surfaces in de-Sitter 3-Space

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.

Keywords

References

  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.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

December 31, 2020

Submission Date

May 8, 2020

Acceptance Date

November 28, 2020

Published in Issue

Year 2020 Volume: 12 Number: 2

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

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