KaydedilenlerDerginizi ekleyin

Dergiler / International Electronic Journal of Geometry / 2017 / Cilt: 10 - Sayı: 2

Degenerate Saccheri Quadrilaterals, Möbius Transformations and Conjugate Möbius Transformations

Oguzhan DEMİREL
Sayfa
32–36
Yayın Tarihi
2022-10-18
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In this paper, we define a new geometric concept that we will call “degenerate Saccheri

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we define a new geometric concept that we will call “degenerate Saccheri
📊
Temel Bulgular & Veri:In this paper, we define a new geometric concept that we will call “degenerate Saccheri
💡
Sonuç & Katkı:In this paper, we define a new geometric concept that we will call “degenerate Saccheri
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Saccheri quadrilateral · Möbius transformation

Abstract

In this paper, we define a new geometric concept that we will call “degenerate Saccheri

🔖

Bu Makaleye Atıf Yap

DEMİREL, O. (2022). Degenerate Saccheri Quadrilaterals, Möbius Transformations and Conjugate Möbius Transformations. International Electronic Journal of Geometry, Cilt: 10 - Sayı: 2, 32–36. https://ajindex.com/articles/539691

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (14)

  1. Aczél, J. and McKiernan, M.A., On the characterization of plane projective and complex Möbius transformations. Math. Nachr. 33, (1967), 315–337
  2. Beardon, A.F. and Minda, D., Sphere-preserving maps in inversive geometry. Proc. Amer. Math. Soc. 130 (2002), no. 4, 987–998
  3. Beardon, A.F., The geometry of discrete groups, Springer-Verlag, New York, 1983
  4. Carathéodory, C., The most general transformations of plane regions which transform circles into circles. Bull. Am. Math. Soc. 43, (1937), 573–579
  5. Demirel, O. and Seyrantepe, E.S., A characterization of Möbius transformations by use of hyperbolic regular polygons. J. Math. Anal. Appl. 374 (2011), no. 2, 566–572
  6. Demirel, O., A characterization of Möbius transformations by use of hyperbolic regular star polygons. Proc. Rom. Acad. Ser. A Math. Phys. Tech. Sci. Inf. Sci. 14 (2013), no. 1, 13–19
  7. Demirel, O., Degenerate Lambert quadrilaterals and Möbius transformations. Bull. Math. Soc. Sci. Math. Roumanie, (accepted for publication)
  8. Haruki, H and Rassias, T.M., A new characteristic of Möbius transformations by use of Apollonius quadrilaterals. Proc. Amer. Math. Soc. 126 (1998), no. 10, 2857–2861
  9. Höfer, R., A characterization of Möbius transformations. Proc. Amer. Math. Soc. 128 (2000), no. 4, 1197–1201
  10. Jing, L., A new characteristic of Möbius transformations by use of polygons having type A. J. Math. Anal. Appl. 324 (2006), no. 1, 281–284
  11. Jones, G.A and Singerman, D., Complex functions. An algebraic and geometric viewpoint. Cambridge University Press, Cambridge, 1987
  12. Ungar, A.A., Analytic hyperbolic geometry. Mathematical foundations and applications. World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2005 [13] Ungar, A.A., The hyperbolic square and Möbius transformations, Banach J. Math. Anal. 1 (2007), no. 1, 101–116
  13. Yang, S. and Fang, A., A new characteristic of Möbius transformations in hyperbolic geometry. J. Math. Anal. Appl. 319 (2006), no. 2, 660–664
  14. Yang, S. and Fang, A., Corrigendum to "A new characteristic of Möbius transformations in hyperbolic geometry, J. Math. Anal. Appl. 319 (2) (2006) 660-664" J. Math. Anal. Appl. 376 (2011), no. 1, 383–384.