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Triangles In The De-Sitter Plane

Year 2019, Volume: 40 Issue: 2, 505 - 517, 30.06.2019
https://doi.org/10.17776/csj.487548

Abstract

The triangular varieties in the de-Sitter plane were
investigated and the formulas of triangles of non-degenerate    and  
type of triangles were obtained in terms of dihedral angles.

References

  • [1] Asmus, I., Duality Between Hyperbolic and de-Sitter Geometry, Cornell University, New York, (2008) 1-32.
  • [2] O’neil, B., Semi-Riemannian Geometry, AcademicPress., London, (1983) 46-49, 54-57, 108-114, 143-144.
  • [3] Suarez-Peiro, E., A SchlafliDifferential Formula for Implices in Semi-Riemannian Hyperquadrics, Gauss-Bonnet Formulas fo rSimplices in the de Sitter Sphere and the Dual Volume of a Hyperbolic Simplex, Pasicif Journal of Mathematics, 194(1) (2000) 229.
  • [4] Karlığa, B., Edgematrix of hyperbolic simplices, Geom. Dedicata, 109 (2004) 1–6.
  • [5] Karlığa, B., Yakut, A.T., Vertexangles of a simplex in hyperbolic space , Geom. Dedicata, 120 (2006) 49-58.

De-Sitter Düzleminde Üçgenler

Year 2019, Volume: 40 Issue: 2, 505 - 517, 30.06.2019
https://doi.org/10.17776/csj.487548

Abstract

Sitter düzlemindeki üçgen çeşitleri incelenip, bu üçgenlerin dejenere
olmayanlarından olan   ve   tipindeki üçgenlerin alan formülleri
dihedral açılar cinsinden elde edilmiştir.

References

  • [1] Asmus, I., Duality Between Hyperbolic and de-Sitter Geometry, Cornell University, New York, (2008) 1-32.
  • [2] O’neil, B., Semi-Riemannian Geometry, AcademicPress., London, (1983) 46-49, 54-57, 108-114, 143-144.
  • [3] Suarez-Peiro, E., A SchlafliDifferential Formula for Implices in Semi-Riemannian Hyperquadrics, Gauss-Bonnet Formulas fo rSimplices in the de Sitter Sphere and the Dual Volume of a Hyperbolic Simplex, Pasicif Journal of Mathematics, 194(1) (2000) 229.
  • [4] Karlığa, B., Edgematrix of hyperbolic simplices, Geom. Dedicata, 109 (2004) 1–6.
  • [5] Karlığa, B., Yakut, A.T., Vertexangles of a simplex in hyperbolic space , Geom. Dedicata, 120 (2006) 49-58.
There are 5 citations in total.

Details

Primary Language English
Journal Section Natural Sciences
Authors

Tuğba Mert

Publication Date June 30, 2019
Submission Date November 26, 2018
Acceptance Date March 20, 2019
Published in Issue Year 2019Volume: 40 Issue: 2

Cite

APA Mert, T. (2019). Triangles In The De-Sitter Plane. Cumhuriyet Science Journal, 40(2), 505-517. https://doi.org/10.17776/csj.487548