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Is There Any Metric Line Which Can Be Represented By A Single Fixed Point?

Yıl 2019, Cilt: 4 Sayı: 1, 54 - 62, 27.06.2019
https://doi.org/10.33484/sinopfbd.469669

Öz

In this paper, determining metric lines in Levenberg plane, a special metric line example which can be written by using a single fixed point is presented. Moreover, we prove nonexistence of periodic lines in Levenberg plane and give a problem whether there exist a distance space in which periodic lines written by using a single fixed point?

Kaynakça

  • [1] Benz, W., Metric and periodic lines in real inner product space geometries. Monatsh. Math.141 (2004), no. 1, 1–10.
  • [2] Benz, W., Classical Geometries in Modern Contexts, Birkhauser, 2007.
  • [3] Blumenthal LM, Menger K (1970) Studies in Geometry. San Francisco: Freeman.
  • [4] Demirel, O., Seyrantepe E.S, Sönmez, N., Metric and periodic lines in the Poincare ball modelof hyperbolic geometry, Bull. Iran. Math. Soc. 38 (2012), no. 3, 805–815.
  • [5] Demirel, O., Seyrantepe E.S, The cogyrolines of Möbius gyrovector spaces are metric but notperiodic, Aequationes Math. 85 (2013), no. 1-2, 185–200.
  • [6] Gelisgen, O., On the Congruence of Triangles in Levenberg Plane, Dumlupinar ¨ Universitesi ¨Fen Bilimleri Enstitüsü 14, 2007.
  • [7] Höfer, R., Metric lines in Lorentz-Minkowski geometry, Aequationes Math. 71 (2006), no. 1-2,162–173.
  • [8] Höfer, R., Metric and Periodic lines in de Sitter’s World, J.Geom. 90 (2008), 66–82.
Toplam 8 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Araştırma Makaleleri
Yazarlar

Oğuzhan Demirel

Yayımlanma Tarihi 27 Haziran 2019
Gönderilme Tarihi 11 Ekim 2018
Yayımlandığı Sayı Yıl 2019 Cilt: 4 Sayı: 1

Kaynak Göster

APA Demirel, O. (2019). Is There Any Metric Line Which Can Be Represented By A Single Fixed Point?. Sinop Üniversitesi Fen Bilimleri Dergisi, 4(1), 54-62. https://doi.org/10.33484/sinopfbd.469669


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