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Journals / Sinop Üniversitesi Fen Bilimleri Dergisi / 2019 / Cilt: 4 - Sayı: 1

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

Oğuzhan DEMİREL
Pages
54–62
Publication Date
2019-06-27
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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?

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
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Key Findings & Data: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.
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Conclusion & Impact: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?
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Metric spaces · functional equations of metric and periodic lines and their solutions · Levenberg plane

Özet

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?

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Cite This Article

DEMİREL, O. (2019). Is There Any Metric Line Which Can Be Represented By A Single Fixed Point?. Sinop Üniversitesi Fen Bilimleri Dergisi, Cilt: 4 - Sayı: 1, 54–62. https://ajindex.com/articles/415120

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References (8)

  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.