Mathematics (Jan 2020)

A New Angular Measurement in Minkowski 3-Space

  • Jinhua Qian,
  • Xueqian Tian,
  • Jie Liu,
  • Young Ho Kim

DOI
https://doi.org/10.3390/math8010056
Journal volume & issue
Vol. 8, no. 1
p. 56

Abstract

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In Lorentz−Minkowski space, the angles between any two non-null vectors have been defined in the sense of the angles in Euclidean space. In this work, the angles relating to lightlike vectors are characterized by the Frenet frame of a pseudo null curve and the angles between any two non-null vectors in Minkowski 3-space. Meanwhile, the explicit measuring methods are demonstrated through several examples.

Keywords