Introduction of a Minkowski space structure for a deeper insight in Euclidean issues

n×n symmetrical positive definite matrices are present in many applications. In the n 2 case, these matrices constitute a 3D-space, denoted by S+2. The determinant of A S+2 a natural quadratic form, giving S2+ a Minkowski space structure. This paper shows how this theory quite naturally provides a g...

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Bibliographic Details
Published inJournal of physics. Conference series Vol. 206; no. 1; p. 012033
Main Author Becker, Jean-Marie
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.02.2010
Subjects
Mathematical analysis
Matrices (mathematics)
Minkowski space
Physics
Quadratic forms
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Summary:n×n symmetrical positive definite matrices are present in many applications. In the n 2 case, these matrices constitute a 3D-space, denoted by S+2. The determinant of A S+2 a natural quadratic form, giving S2+ a Minkowski space structure. This paper shows how this theory quite naturally provides a graphical interpretation to formulas that have been defined elsewhere. An original application to discrete curves is given.
ISSN:1742-6596
1742-6588
1742-6596
DOI:10.1088/1742-6596/206/1/012033