A New Angular Measurement in Minkowski 3-Space

Jinhua Qian, Xueqian Tian, Jie Liu and Young Ho Kim
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Jinhua Qian: Department of Mathematics, Northeastern University, Shenyang 110004, China
Xueqian Tian: Department of Mathematics, Northeastern University, Shenyang 110004, China
Jie Liu: Department of Mathematics, Northeastern University, Shenyang 110004, China
Young Ho Kim: Department of Mathematics, Kyungpook National University, Daegu 41566, Korea

Mathematics, 2020, vol. 8, issue 1, 1-11

Abstract: 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: angle; pseudo null curve; lightlike vector; Minkowski space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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