Characterization of integral curves of a linear vector field in Lorentz 3-space
dc.contributor.author | Turhan, Tunahan | |
dc.contributor.author | Ayyildiz, Nihat | |
dc.date.accessioned | 2024-02-23T14:26:26Z | |
dc.date.available | 2024-02-23T14:26:26Z | |
dc.date.issued | 2016 | |
dc.department | NEÜ | en_US |
dc.description.abstract | 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. | en_US |
dc.identifier.doi | 10.1142/S0219887816500730 | |
dc.identifier.issn | 0219-8878 | |
dc.identifier.issn | 1793-6977 | |
dc.identifier.issue | 6 | en_US |
dc.identifier.scopus | 2-s2.0-84966300036 | en_US |
dc.identifier.scopusquality | Q3 | en_US |
dc.identifier.uri | https://doi.org/10.1142/S0219887816500730 | |
dc.identifier.uri | https://hdl.handle.net/20.500.12452/14183 | |
dc.identifier.volume | 13 | en_US |
dc.identifier.wos | WOS:000378942500005 | en_US |
dc.identifier.wosquality | Q3 | en_US |
dc.indekslendigikaynak | Web of Science | en_US |
dc.indekslendigikaynak | Scopus | en_US |
dc.language.iso | en | en_US |
dc.publisher | World Scientific Publ Co Pte Ltd | en_US |
dc.relation.ispartof | International Journal Of Geometric Methods In Modern Physics | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Integral Curve | en_US |
dc.subject | Lorentz Space | en_US |
dc.subject | Skew-Symmetric Matrix | en_US |
dc.subject | Vector Field | en_US |
dc.title | Characterization of integral curves of a linear vector field in Lorentz 3-space | en_US |
dc.type | Article | en_US |