Skew-symmetric matrices and integral curves in Lorentzian spaces

We provide some existence results about integral curves of a linear vector field on 3-dimensional Lorentzian space E₁³. Moreover, we have a classification of integral curves ( or flow lines ) of a linear vector field and the normal forms of the matrix corresponding to a mapping A in Lorentzian space...

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Main Authors: Tunahan Turhan, Nihat Ayyıldız
Format: Article
Language:English
Published: Elsevier 2016-08-01
Series:Kuwait Journal of Science
Subjects:
Online Access:https://journalskuwait.org/kjs/index.php/KJS/article/view/895
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author Tunahan Turhan
Nihat Ayyıldız
author_facet Tunahan Turhan
Nihat Ayyıldız
author_sort Tunahan Turhan
collection DOAJ
description We provide some existence results about integral curves of a linear vector field on 3-dimensional Lorentzian space E₁³. Moreover, we have a classification of integral curves ( or flow lines ) of a linear vector field and the normal forms of the matrix corresponding to a mapping A in Lorentzian spaces E₁³ and E₁²ⁿ⁺¹.
format Article
id doaj-art-580e42e776f24c84b5db34fbdb2d37b6
institution Kabale University
issn 2307-4108
2307-4116
language English
publishDate 2016-08-01
publisher Elsevier
record_format Article
series Kuwait Journal of Science
spelling doaj-art-580e42e776f24c84b5db34fbdb2d37b62025-08-20T03:24:56ZengElsevierKuwait Journal of Science2307-41082307-41162016-08-01433323Skew-symmetric matrices and integral curves in Lorentzian spacesTunahan Turhan0Nihat Ayyıldız1Seydişehir Vocational School, Necmettin Erbakan University, Konya, TurkeyDept. of Mathematics, Süleyman Demirel University, Isparta, TurkeyWe provide some existence results about integral curves of a linear vector field on 3-dimensional Lorentzian space E₁³. Moreover, we have a classification of integral curves ( or flow lines ) of a linear vector field and the normal forms of the matrix corresponding to a mapping A in Lorentzian spaces E₁³ and E₁²ⁿ⁺¹.https://journalskuwait.org/kjs/index.php/KJS/article/view/895Flow linesintegral curvelinear vector fieldLorentzian spaceskew-symmetric matrix.
spellingShingle Tunahan Turhan
Nihat Ayyıldız
Skew-symmetric matrices and integral curves in Lorentzian spaces
Kuwait Journal of Science
Flow lines
integral curve
linear vector field
Lorentzian space
skew-symmetric matrix.
title Skew-symmetric matrices and integral curves in Lorentzian spaces
title_full Skew-symmetric matrices and integral curves in Lorentzian spaces
title_fullStr Skew-symmetric matrices and integral curves in Lorentzian spaces
title_full_unstemmed Skew-symmetric matrices and integral curves in Lorentzian spaces
title_short Skew-symmetric matrices and integral curves in Lorentzian spaces
title_sort skew symmetric matrices and integral curves in lorentzian spaces
topic Flow lines
integral curve
linear vector field
Lorentzian space
skew-symmetric matrix.
url https://journalskuwait.org/kjs/index.php/KJS/article/view/895
work_keys_str_mv AT tunahanturhan skewsymmetricmatricesandintegralcurvesinlorentzianspaces
AT nihatayyıldız skewsymmetricmatricesandintegralcurvesinlorentzianspaces