On differential analysis of spacelike flows on normal congruence of surfaces

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dc.contributor.authorErdogdu, Melek
dc.contributor.authorYavuz, Ayse
dc.date.accessioned2024-02-23T14:37:31Z
dc.date.available2024-02-23T14:37:31Z
dc.date.issued2022
dc.departmentNEÜen_US
dc.description.abstractThe present paper examines the differential analysis of flows on normal congruence of spacelike curves with spacelike normal vector in terms of anholonomic coordinates in three dimensional Lorentzian space. Eight parameters, which are related by three partial differential equations, are discussed. Then, it is seen that the curl of tangent vector field does not include any component with principal normal direction. Thus there exists a surface which contains both s-lines and b - lines. Also, we examine a normal congruence of surfaces containing the s - lines and b - lines. By compatibility conditions, Gauss-Mainardi-Codazzi equations are obtained for this normal congruence of surface. Intrinsic geometric properties of this normal congruence of surfaces arc given.en_US
dc.identifier.doi10.3934/math.2022753
dc.identifier.endpage13680en_US
dc.identifier.issn2473-6988
dc.identifier.issue8en_US
dc.identifier.scopus2-s2.0-85134016382en_US
dc.identifier.startpage13664en_US
dc.identifier.urihttps://doi.org/10.3934/math.2022753
dc.identifier.urihttps://hdl.handle.net/20.500.12452/16142
dc.identifier.volume7en_US
dc.identifier.wosWOS:000853006200003en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherAmer Inst Mathematical Sciences-Aimsen_US
dc.relation.ispartofAims Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAnholonomic Coordinatesen_US
dc.subjectNormal Congruenceen_US
dc.subjectFlows Of Spacelike Curveen_US
dc.subjectTimelike Surfaceen_US
dc.subjectGauss-Mainardi-Codazzi Equationsen_US
dc.titleOn differential analysis of spacelike flows on normal congruence of surfacesen_US
dc.typeArticleen_US

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