A New Angular Measurement in Minkowski 3-Space

A New Angular Measurement in Minkowski 3-Space

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-nu...

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Bibliographic Details
Main Authors: Jinhua Qian, Xueqian Tian, Jie Liu, Young Ho Kim
Format: Article
Language:English
Published: MDPI AG 2020-01-01
Series:Mathematics
Subjects:
angle
pseudo null curve
lightlike vector
minkowski space
Online Access:https://www.mdpi.com/2227-7390/8/1/56
Description
Summary: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.
ISSN:2227-7390

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