Araştırma Makalesi
BibTex RIS Kaynak Göster

Special Ruled Surface in de-Sitter 3-Space

Yıl 2021, Cilt: 4 Sayı: 3, 195 - 209, 30.09.2021
https://doi.org/10.33401/fujma.933725

Öz

In this paper, timelike base curve and spacelike main geodesic with the timelike ruled surface are studied, which is a special class of ruled surface 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. So we will call these surfaces in the de-Sitter space as the geodesic ruled surface. Developable ruled surface, striction point, striction curve, dispersion parameter, and orthogonal trajectory concepts are investigated for the obtained geodesic ruled surface.

Kaynakça

  • [1] A. Turgut, H. Hacısaliho˘glu, Timelike ruled surface in the Minkowski-3 space, Far East J. Math. Sci., 5(1) (1997), 83-90.
  • [2] A. Turgut, Spacelike and Timelike Ruled Surface on the Minkowski 3-Space, Ph. D. Thesis, Ankara University, 1995.
  • [3] A. Sabuncuo˘glu, Generalized Ruled Surface, Associate Professorship Thesis, Ankara University, 1982.
  • [4] T. Mert, Spacelike Ruled Surfaces in Hyperbolic 3􀀀Space, Cumhuriyet Sci. J., 39(2) (2018), 314-324.
  • [5] J. Ratcliffe, Foundations of Hyperbolic Manifolds, New York, USA, 2006.
  • [6] B. O’Neill, Semi-Riemannıan Geometry with applıcations to relativity, Academic Press, New York, 1983.
  • [7] M. Kasedou, Spacelike submanifolds in de Sitter space, Demonstratio Mathematica, XLIII (2010), 401-418.
  • [8] T. Mert, B. Karlı˘ga, Constant Angle Surface in Hyperbolic and de-Sitter 3-Spaces, Ph. D. Thesis, Gazi University, 2014.
  • [9] C. Thas, A gauss map on hypersurfaces of submanıfolds ın Euclıdean spaces, J.Korean Math.Soc., 16(1) (1979), 17-27.
  • [10] B. Karlı˘ga, On The Generalized Stereographic Projection, Beitr Algebra Geom., 37(2) (1996), 329-336.
Yıl 2021, Cilt: 4 Sayı: 3, 195 - 209, 30.09.2021
https://doi.org/10.33401/fujma.933725

Öz

Kaynakça

  • [1] A. Turgut, H. Hacısaliho˘glu, Timelike ruled surface in the Minkowski-3 space, Far East J. Math. Sci., 5(1) (1997), 83-90.
  • [2] A. Turgut, Spacelike and Timelike Ruled Surface on the Minkowski 3-Space, Ph. D. Thesis, Ankara University, 1995.
  • [3] A. Sabuncuo˘glu, Generalized Ruled Surface, Associate Professorship Thesis, Ankara University, 1982.
  • [4] T. Mert, Spacelike Ruled Surfaces in Hyperbolic 3􀀀Space, Cumhuriyet Sci. J., 39(2) (2018), 314-324.
  • [5] J. Ratcliffe, Foundations of Hyperbolic Manifolds, New York, USA, 2006.
  • [6] B. O’Neill, Semi-Riemannıan Geometry with applıcations to relativity, Academic Press, New York, 1983.
  • [7] M. Kasedou, Spacelike submanifolds in de Sitter space, Demonstratio Mathematica, XLIII (2010), 401-418.
  • [8] T. Mert, B. Karlı˘ga, Constant Angle Surface in Hyperbolic and de-Sitter 3-Spaces, Ph. D. Thesis, Gazi University, 2014.
  • [9] C. Thas, A gauss map on hypersurfaces of submanıfolds ın Euclıdean spaces, J.Korean Math.Soc., 16(1) (1979), 17-27.
  • [10] B. Karlı˘ga, On The Generalized Stereographic Projection, Beitr Algebra Geom., 37(2) (1996), 329-336.
Toplam 10 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Tuğba Mert 0000-0001-8258-8298

Mehmet Atçeken Bu kişi benim 0000-0001-8665-5945

Yayımlanma Tarihi 30 Eylül 2021
Gönderilme Tarihi 6 Mayıs 2021
Kabul Tarihi 14 Eylül 2021
Yayımlandığı Sayı Yıl 2021 Cilt: 4 Sayı: 3

Kaynak Göster

APA Mert, T., & Atçeken, M. (2021). Special Ruled Surface in de-Sitter 3-Space. Fundamental Journal of Mathematics and Applications, 4(3), 195-209. https://doi.org/10.33401/fujma.933725
AMA Mert T, Atçeken M. Special Ruled Surface in de-Sitter 3-Space. Fundam. J. Math. Appl. Eylül 2021;4(3):195-209. doi:10.33401/fujma.933725
Chicago Mert, Tuğba, ve Mehmet Atçeken. “Special Ruled Surface in De-Sitter 3-Space”. Fundamental Journal of Mathematics and Applications 4, sy. 3 (Eylül 2021): 195-209. https://doi.org/10.33401/fujma.933725.
EndNote Mert T, Atçeken M (01 Eylül 2021) Special Ruled Surface in de-Sitter 3-Space. Fundamental Journal of Mathematics and Applications 4 3 195–209.
IEEE T. Mert ve M. Atçeken, “Special Ruled Surface in de-Sitter 3-Space”, Fundam. J. Math. Appl., c. 4, sy. 3, ss. 195–209, 2021, doi: 10.33401/fujma.933725.
ISNAD Mert, Tuğba - Atçeken, Mehmet. “Special Ruled Surface in De-Sitter 3-Space”. Fundamental Journal of Mathematics and Applications 4/3 (Eylül 2021), 195-209. https://doi.org/10.33401/fujma.933725.
JAMA Mert T, Atçeken M. Special Ruled Surface in de-Sitter 3-Space. Fundam. J. Math. Appl. 2021;4:195–209.
MLA Mert, Tuğba ve Mehmet Atçeken. “Special Ruled Surface in De-Sitter 3-Space”. Fundamental Journal of Mathematics and Applications, c. 4, sy. 3, 2021, ss. 195-09, doi:10.33401/fujma.933725.
Vancouver Mert T, Atçeken M. Special Ruled Surface in de-Sitter 3-Space. Fundam. J. Math. Appl. 2021;4(3):195-209.

Creative Commons License
The published articles in Fundamental Journal of Mathematics and Applications are licensed under a