Research Article
BibTex RIS Cite

Spacelike Ruled Surface In Hyperbolic 3-Space

Year 2018, Volume: 39 Issue: 2, 314 - 324, 29.06.2018

Tuğba Mert

https://doi.org/10.17776/csj.383468
https://izlik.org/JA25PA57RD

Abstract

In this paper  in Hyperbolic space  , we study a spacelike ruled surfaces. A spacelike ruled
surface in  is acquired by a
spacelike geodesic moving along a spacelike curve. In this paper, we are
investigated developable ruled surface, striction point and striction curve of
ruled surface, dispersion parameter of ruled surface on Hyperbolic space .

Keywords

Ruled Surface Spacelike Ruled Surface

References

  • [1] Turgut,A.,Hacısalihoğlu,H. Timelike ruled surface in the Minkowski 3-space, Far East J.Math.Sci.1997;5(1), 83-90.
  • [2] Turgut,A. Spacelike and Timelike Ruled Surface on the Minkowski 3-Space, Ph. D. Thesis, Ankara Univer-sity,1995.
  • [3] Sabuncuoğlu,A. Generelized Ruled Surface, Associ-ate Proffesorshiph Thesis, Ankara University,1982.
  • [4] Thas, C. A gauss map on hypersurfaces of sub-manıfolds ın Euclıdean spaces. J.Korean Math.Soc. 1979; 16, 17-27.
  • [5] O’Neill,B. Semi-Riemannian Geometry with Appli-cations to Relativity, Academic Press, New York, 1983.
  • [6] Fencel,W. Elementary Geometry in Hyperbolic Space, Walter de Gruyter, New York, 1989.
  • [7] Ratcliffe J. Foundations of Hyperbolic Manifolds, Springer,2000.

Year 2018, Volume: 39 Issue: 2, 314 - 324, 29.06.2018

Tuğba Mert

https://doi.org/10.17776/csj.383468
https://izlik.org/JA25PA57RD

Abstract

References

  • [1] Turgut,A.,Hacısalihoğlu,H. Timelike ruled surface in the Minkowski 3-space, Far East J.Math.Sci.1997;5(1), 83-90.
  • [2] Turgut,A. Spacelike and Timelike Ruled Surface on the Minkowski 3-Space, Ph. D. Thesis, Ankara Univer-sity,1995.
  • [3] Sabuncuoğlu,A. Generelized Ruled Surface, Associ-ate Proffesorshiph Thesis, Ankara University,1982.
  • [4] Thas, C. A gauss map on hypersurfaces of sub-manıfolds ın Euclıdean spaces. J.Korean Math.Soc. 1979; 16, 17-27.
  • [5] O’Neill,B. Semi-Riemannian Geometry with Appli-cations to Relativity, Academic Press, New York, 1983.
  • [6] Fencel,W. Elementary Geometry in Hyperbolic Space, Walter de Gruyter, New York, 1989.
  • [7] Ratcliffe J. Foundations of Hyperbolic Manifolds, Springer,2000.
There are 7 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Tuğba Mert

Submission Date January 25, 2018
Acceptance Date April 30, 2018
Publication Date June 29, 2018
DOI https://doi.org/10.17776/csj.383468
IZ https://izlik.org/JA25PA57RD
Published in Issue Year 2018 Volume: 39 Issue: 2

Cite

APA Mert, T. (2018). Spacelike Ruled Surface In Hyperbolic 3-Space. Cumhuriyet Science Journal, 39(2), 314-324. https://doi.org/10.17776/csj.383468

Cited By

Timelike Ruled Surfaces in de-Sitter 3-Space
Turkish Journal of Mathematics and Computer Science
Tuğba MERT
https://doi.org/10.47000/tjmcs.734243
Special Ruled Surface in de-Sitter 3-Space
Fundamental Journal of Mathematics and Applications
Tuğba MERT
https://doi.org/10.33401/fujma.933725

As of 2026, Cumhuriyet Science Journal will be published in six issues per year, released in February, April, June, August, October, and December