A GEOMETRIC APPROACH TO TIMELIKE FLOWS IN TERMS OF ANHOLONOMIC COORDINATES

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dc.contributor.authorYavuz, Ayse
dc.contributor.authorErdogdu, Melek
dc.date.accessioned2024-02-23T14:44:46Z
dc.date.available2024-02-23T14:44:46Z
dc.date.issued2022
dc.departmentNEÜen_US
dc.description.abstractThis paper is devoted to the geometry of vector fields and timelike flows in terms of anholonomic coordinates in three dimensional Lorentzian space. We discuss eight parameters which are related by three partial differential equations. Then, it is seen that the curl of tangent vector field does not include any component in the direction of principal normal vector field. This implies the existence of a surface which contains both s - lines and b - lines. Moreover, we examine a normal congruence of timelike surfaces containing the s - lines and b - lines. Considering the compatibility conditions, we obtain the Gauss-Mainardi-Codazzi equations for this normal congruence of timelike surfaces in the case of the abnormality of normal vector field is zero. Intrinsic geometric properties of these normal congruence of timelike surfaces are obtained. We have dealt with important results on these geometric properties.en_US
dc.identifier.doi10.5831/HMJ.2022.44.2.259
dc.identifier.endpage270en_US
dc.identifier.issn1225-293X
dc.identifier.issn2288-6176
dc.identifier.issue2en_US
dc.identifier.startpage259en_US
dc.identifier.urihttps://doi.org/10.5831/HMJ.2022.44.2.259
dc.identifier.urihttps://hdl.handle.net/20.500.12452/17104
dc.identifier.volume44en_US
dc.identifier.wosWOS:000822821900009en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherHonam Mathematical Socen_US
dc.relation.ispartofHonam Mathematical Journalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectAnholonomic Coordinatesen_US
dc.subjectNormal Congruenceen_US
dc.subjectTimelike Surfacesen_US
dc.titleA GEOMETRIC APPROACH TO TIMELIKE FLOWS IN TERMS OF ANHOLONOMIC COORDINATESen_US
dc.typeArticleen_US

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