EN
Equality of internal angles and vertex points in conformal hyperbolic triangles
Abstract
In this article, by using the conformal structure in Euclidean space, the conformal structures in hyperbolic space and the equality of the internal angles and vertex points of conformal triangles in hyperbolic space are given. Especially in these special conformal triangles, the conformal hyperbolic equilateral triangle and the conformal hyperbolic isosceles triangle, the internal angles and vertices are shown.
Keywords
References
- Asmus, I., Duality Between Hyperbolic and de-Sitter Geometry, Cornell University, New York, (2008) 1-32.
- O’neil, B., Semi-Riemannian Geometry, Academic Press., London, (1983) 46-49, 54-57, 108-114, 143-144.
- Suarez-Peiro, E., A Schlafli Differential Formula for Implices in Semi-Riemannian Hyperquadrics, Gauss-Bonnet Formulas for Simplices in the de Sitter Sphere and the Dual Volume of a Hyperbolic Simplex, Pasicif Journal of Mathematics, 194(1) (2000) 229.
- Karlığa, B., Edge matrix of hyperbolic simplices, Geom. Dedicata, 109 (2004) 1–6.
- Karlığa, B., Yakut, A.T., Vertex angles of a simplex in hyperbolic space , Geom. Dedicata, 120 (2006) 49-58.
- Alsan, Ö., Conformal Triangles, M.Sc. Thesis, Kastamonu University Institute of Science and Technology, Kastamonu 2015.
- Karlığa, B., Savaş, M., “Field Formulas Based on Edge Lengths of Hyperbolic and Spherical Triangles”, Seminar of Mathematics Deparment, Gazi University, Ankara, (2006) 1-6.
- Ratcliffe, J.G., “Foundations of Hyperbolic Manifolds”, Springer-Verlag, Berlin, (1994).
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
September 30, 2020
Submission Date
April 14, 2020
Acceptance Date
September 1, 2020
Published in Issue
Year 2020 Volume: 41 Number: 3
APA
Tokeşer, Ü., & Alsan, Ö. (2020). Equality of internal angles and vertex points in conformal hyperbolic triangles. Cumhuriyet Science Journal, 41(3), 642-650. https://doi.org/10.17776/csj.719117
AMA
1.Tokeşer Ü, Alsan Ö. Equality of internal angles and vertex points in conformal hyperbolic triangles. CSJ. 2020;41(3):642-650. doi:10.17776/csj.719117
Chicago
Tokeşer, Ümit, and Ömer Alsan. 2020. “Equality of Internal Angles and Vertex Points in Conformal Hyperbolic Triangles”. Cumhuriyet Science Journal 41 (3): 642-50. https://doi.org/10.17776/csj.719117.
EndNote
Tokeşer Ü, Alsan Ö (September 1, 2020) Equality of internal angles and vertex points in conformal hyperbolic triangles. Cumhuriyet Science Journal 41 3 642–650.
IEEE
[1]Ü. Tokeşer and Ö. Alsan, “Equality of internal angles and vertex points in conformal hyperbolic triangles”, CSJ, vol. 41, no. 3, pp. 642–650, Sept. 2020, doi: 10.17776/csj.719117.
ISNAD
Tokeşer, Ümit - Alsan, Ömer. “Equality of Internal Angles and Vertex Points in Conformal Hyperbolic Triangles”. Cumhuriyet Science Journal 41/3 (September 1, 2020): 642-650. https://doi.org/10.17776/csj.719117.
JAMA
1.Tokeşer Ü, Alsan Ö. Equality of internal angles and vertex points in conformal hyperbolic triangles. CSJ. 2020;41:642–650.
MLA
Tokeşer, Ümit, and Ömer Alsan. “Equality of Internal Angles and Vertex Points in Conformal Hyperbolic Triangles”. Cumhuriyet Science Journal, vol. 41, no. 3, Sept. 2020, pp. 642-50, doi:10.17776/csj.719117.
Vancouver
1.Ümit Tokeşer, Ömer Alsan. Equality of internal angles and vertex points in conformal hyperbolic triangles. CSJ. 2020 Sep. 1;41(3):642-50. doi:10.17776/csj.719117