On Interpretation of Hyperbolic Angle


AKTAŞ B., GÜNDOĞAN H., DURMAZ O.

KYUNGPOOK MATHEMATICAL JOURNAL, cilt.60, sa.2, ss.375-385, 2020 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 60 Sayı: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.5666/kmj.2020.60.2.375
  • Dergi Adı: KYUNGPOOK MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.375-385
  • Atatürk Üniversitesi Adresli: Evet

Özet

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.