Congruence of degenerate surface along pseudo null curve and Landau-Lifshitz equation

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dc.contributor.authorYavuz, Ayse
dc.contributor.authorErdogdu, Melek
dc.date.accessioned2024-02-23T14:03:01Z
dc.date.available2024-02-23T14:03:01Z
dc.date.issued2022
dc.departmentNEÜen_US
dc.description.abstractThis paper is devoted to the geometry of pseudo null curve in terms of anholonomic coordinates in Minkowski space. Firstly, extended Frenet formulas for pseudo null curves are deeply discussed. Then binormal congruence of degenerate surfaces containing the s - lines and n - lines are investigated with the condition mu(b) = 0. This condition represents the necessary and sufficient condition for the existence of a one-parameter family of surfaces containing the s - lines and n - lines. Moreover, normal congruence of surfaces containing the s - lines and b - lines are examined with the condition mu(n) = 0. Again, the condition represents the necessary and sufficient condition for the existence of a one-parameter family of surfaces containing the s - lines and b - lines. Considering the compatibility conditions, Gauss-Mainardi-Codazzi equations are obtained for this binormal and congruence of surfaces, respectively. Finally, some relations are given for constructing the moving pseudo null curve with using the integrable Landau-Lifshitz equation. (C) 2022 Elsevier B.V. All rights reserved.en_US
dc.identifier.doi10.1016/j.geomphys.2022.104553
dc.identifier.issn0393-0440
dc.identifier.issn1879-1662
dc.identifier.scopus2-s2.0-85130381485en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1016/j.geomphys.2022.104553
dc.identifier.urihttps://hdl.handle.net/20.500.12452/11938
dc.identifier.volume178en_US
dc.identifier.wosWOS:000806873000015en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofJournal Of Geometry And Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectPseudo Null Flowsen_US
dc.subjectBinormal Congruenceen_US
dc.subjectNormal Congruenceen_US
dc.subjectLandau-Lifshitz Equationen_US
dc.subjectMinkowski Spaceen_US
dc.titleCongruence of degenerate surface along pseudo null curve and Landau-Lifshitz equationen_US
dc.typeArticleen_US

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