$Geometric approaches to establish the fundamentals of Lorentz spaces $\mathbb{R}_2^3$ and $\mathbb{R}_1^2$$

Geometric approaches to establish the fundamentals of Lorentz spaces $\mathbb{R}_2^3$ and $\mathbb{R}_1^2$

The aim of this paper is to investigate the orthogonality of vectors to each other and the Gram-Schmidt method in the Minkowski space $\mathbb{R}_2^3$. Hyperbolic cosine formulas are given for all triangle types in the Minkowski plane $\mathbb{R}_1^2$. Moreover, the Pedoe inequality is explained for...

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Bibliographic Details
Main Authors:	Sevilay Çoruh Şenocak, Salim Yüce
Format:	Article
Language:	English
Published:	Institute of Mathematics of the Czech Academy of Science 2024-12-01
Series:	Mathematica Bohemica
Subjects:	gram-schmidt method lorentz triangle hyperbolic cosine formulas pedoe inequality lorentz matrix multiplication orthogonal projection
Online Access:	https://mb.math.cas.cz/full/149/4/mb149_4_6.pdf
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Geometric approaches to establish the fundamentals of Lorentz spaces $\mathbb{R}_2^3$ and $\mathbb{R}_1^2$

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