<?xml version="1.0" encoding="UTF-8"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-10-29T22:39:28Z</responseDate><request verb="GetRecord" identifier="oai:bayburt-rdlopen.rawdatalibrary.net:bayburt/14448" metadataPrefix="oai_dc">https://bayburt-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:bayburt-rdlopen.rawdatalibrary.net:bayburt/14448</identifier><datestamp>2026-10-29T19:44:06Z</datestamp><setSpec>openaire</setSpec><setSpec>driver</setSpec><setSpec>com_bayburt_10000</setSpec><setSpec>col_bayburt_10001</setSpec></header><metadata><oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd"><dc:title>DIFFERENTIAL EQUATIONS CHARACTERIZATION FOR Di-DARBOUX SLANT HELICES</dc:title><dc:creator>Alkan, Akin</dc:creator><dc:creator>Kocayígít, Huseyin</dc:creator><dc:creator>Aydin, Tuba Agirman</dc:creator><dc:subject>Darboux slant helix</dc:subject><dc:subject>Slant Helix</dc:subject><dc:subject>Darboux Frame</dc:subject><dc:subject>OD-Frame</dc:subject><dc:subject>ND-Frame</dc:subject><dc:subject>RD-Frame</dc:subject><dc:description>In this article, the differential equation characterizations for D-i-Darboux slant helices given with the help of three new orthogonal frames are introduced for the curves lying on a surface. These moving frames, obtained based on the Darboux frame, are called Osculating Darboux Frame, Normal Darboux Frame, and Rectifying Darboux Frame, respectively.</dc:description><dc:publisher>EDITURA BIBLIOTHECA-BIBLIOTHECA PUBL HOUSE</dc:publisher><dc:date>2025</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/bayburt/14448</dc:identifier><dc:identifier>https://doi.org/10.46939/j.sci.arts-25.2-a10</dc:identifier><dc:identifier>1844-9581</dc:identifier><dc:language>en</dc:language><dc:relation>JOURNAL OF SCIENCE AND ARTS</dc:relation><dc:rights>info:eu-repo/semantics/openAccess</dc:rights><dc:type>info:eu-repo/semantics/article</dc:type><dc:identifier>https://bayburt-rdlopen.rawdatalibrary.net/tr/items/bayburt/14448</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>