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Characterization of integral curves of a linear vector field in Lorentz 3-space

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dc.creator Turhan, Tunahan
dc.creator AYYILDIZ, Nihat
dc.date 2016-06-30T21:00:00Z
dc.date.accessioned 2020-10-06T11:38:05Z
dc.date.available 2020-10-06T11:38:05Z
dc.identifier e74d238c-0e6b-4df1-a0ca-21997a449de4
dc.identifier 10.1142/s0219887816500730
dc.identifier https://avesis.sdu.edu.tr/publication/details/e74d238c-0e6b-4df1-a0ca-21997a449de4/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/74865
dc.description We propose a detail study of integral curves or flow lines of a linear vector field in Lorentz 3-space. We construct the matrix A depending on the causal characters of the vector x by analyzing the non-zero solutions of the equation A(x) = 0, x is an element of E-1(3), in such a space, where A is the skew-symmetric matrix corresponding to the linear map A. Considering the structure of a linear vector field, we obtain the linear first-order system of differential equations. The solutions of this system of equations give rise to integral curves of linear vector fields from which we provide a classification of such curves.
dc.language eng
dc.rights info:eu-repo/semantics/closedAccess
dc.title Characterization of integral curves of a linear vector field in Lorentz 3-space
dc.type info:eu-repo/semantics/article


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