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

Yıl 2019, , 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

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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