Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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On Interpretation of Hyperbolic Angle

  • Aktas, Busra (Department of Mathematics, Faculty of Science and Arts University of Kirikkale) ;
  • Gundogan, Halit (Department of Mathematics, Faculty of Science and Arts University of Kirikkale) ;
  • Durmaz, Olgun (Department of Mathematics, Faculty of Science University of Ataturk)
  • Received : 2018.10.05
  • Accepted : 2019.03.04
  • Published : 2020.06.30
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Abstract

Minkowski spaces have long been investigated with respect to certain properties and substructues such as hyperbolic curves, hyperbolic angles and hyperbolic arc length. In 2009, based on these properties, Chung et al. [3] defined the basic concepts of special relativity, and thus; they interpreted the geometry of the Minkowski spaces. Then, in 2017, E. Nesovic [6] showed the geometric meaning of pseudo angles by interpreting the angle among the unit timelike, spacelike and null vectors on the Minkowski plane. In this study, we show that hyperbolic angle depends on time, t. Moreover, using this fact, we investigate the angles between the unit timelike and spacelike vectors.

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References

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