Investigating Spherical Images of a Curve According to Type-1 Bishop Frame in Weyl Space Using Prolonged Covariant Derivative

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dc.contributor.authorKofoğlu, Dikmen Nil
dc.date.accessioned2024-03-13T09:49:59Z
dc.date.available2024-03-13T09:49:59Z
dc.date.issued2021
dc.departmentİstanbul Beykent Üniversitesien_US
dc.description.abstractIn this study, we investigated spherical images of a curve according to type-1 Bishop frame in three dimensional Weyl space. Further, we expressed the relations among Frenet-Serret and type-1 Bishop frame apparatus. We defined the concepts of general helix, slant helix, spherical curve and also circle by using prolonged covariant derivative in Weyl space. Later, provided that these spherical images satisfy the above definitions, the conditions obtained were expressed in terms of first and second curvatures and hence Bishop curvatures. Additionally, parallel displacement condition of the binormal vector fields of the _{1}^{n} and _{2}^{n} Bishop spherical images of a curvealong their own tangent vector fields was discussed.en_US
dc.identifier.doi10.31590/ejosat.963679
dc.identifier.endpage458en_US
dc.identifier.issn2148-2683
dc.identifier.issue27en_US
dc.identifier.startpage450en_US
dc.identifier.trdizinid1175565en_US
dc.identifier.urihttps://doi.org/10.31590/ejosat.963679
dc.identifier.urihttps://search.trdizin.gov.tr/yayin/detay/1175565
dc.identifier.urihttps://hdl.handle.net/20.500.12662/2377
dc.identifier.volume0en_US
dc.indekslendigikaynakTR-Dizinen_US
dc.language.isoenen_US
dc.relation.ispartofAvrupa Bilim ve Teknoloji Dergisien_US
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.titleInvestigating Spherical Images of a Curve According to Type-1 Bishop Frame in Weyl Space Using Prolonged Covariant Derivativeen_US
dc.typeArticleen_US

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