Triangles In The De-Sitter Plane

Yıl 2019, Cilt: 40 Sayı: 2, 505 - 517, 30.06.2019

Tuğba Mert

https://doi.org/10.17776/csj.487548

Öz

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.

Anahtar Kelimeler

Triangle, Dihedral angles, de-Sitter plane

De-Sitter Düzleminde Üçgenler

Öz

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

Anahtar Kelimeler

Üçgen, Dihedral açı, de-Sitter düzlemi

Kaynakça

• [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.