A SPECIAL RANDERS SPACE AS A CONCRETE MODEL OF FLAT NON-EUCLIDEAN GEOMETRY: RANDERS INFINITE RULE AXIOM

A SPECIAL RANDERS SPACE AS A CONCRETE MODEL OF FLAT NON-EUCLIDEAN GEOMETRY: RANDERS INFINITE RULE AXIOM

Authors

  • Marcelo Almeida de Souza Instituto de Matemática e Estatística/ Universidade Federal de Goiás
  • Newton Mayer Solórzano Chávez Universidade Federal da Integração Latino-Americana - Unidade PTI: Foz do Iguacu, Paraná, BR

DOI:

https://doi.org/10.34179/revisem.v9i4.20843

Abstract

In this work we study a specific model of non-Euclidean geometry, where the Cartesian plane is endowed with a special Randers metric. The way of measuring distances in this new geometry is not symmetric. Here the geodesics continue to be straight lines and due to the non-symmetry of this perturbed metric, we obtain two notions of the infinite ruler axiom.

Keywords: Ruler Axiom, Randers Metric, Plane Geometry.

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Published

2024-12-20

How to Cite

Souza, M. A. de, & Solórzano Chávez, N. M. (2024). A SPECIAL RANDERS SPACE AS A CONCRETE MODEL OF FLAT NON-EUCLIDEAN GEOMETRY: RANDERS INFINITE RULE AXIOM. Revista Sergipana De Matemática E Educação Matemática, 9(4), 11–26. https://doi.org/10.34179/revisem.v9i4.20843

Issue

Vol. 9 No. 4 (2024): Revista Sergipana de Matemática e Educação Matemática

Section

Mathematics

License

Copyright (c) 2024 Marcelo Almeida de Souza, Newton Mayer Solórzano Cháves

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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

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