<?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>2026-10-30T01:50:25Z</responseDate><request verb="GetRecord" identifier="oai:bayburt-rdlopen.rawdatalibrary.net:bayburt/14452" metadataPrefix="oai_dc">https://bayburt-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:bayburt-rdlopen.rawdatalibrary.net:bayburt/14452</identifier><datestamp>2026-10-29T19:44:08Z</datestamp><setSpec>openaire</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>TIMELIKE HELICES IN THE SEMI-EUCLIDEAN SPACE E24</dc:title><dc:creator>Aydin, Tuba Agirman</dc:creator><dc:creator>Ayazoglu, Rabil</dc:creator><dc:creator>Kocayigit, Huseyin</dc:creator><dc:subject>Semi-Euclidean space</dc:subject><dc:subject>timelike curves</dc:subject><dc:subject>timelike slant helix</dc:subject><dc:subject>timelike helix</dc:subject><dc:subject>Taylor matrix collocation method</dc:subject><dc:description>In this paper, we define timelike curves in R-2(4) and characterize such curves in terms of Frenet frame. Also, we examine the timelike helices of R-2(4), taking into account their curvatures. In addition, we study timelike slant helices, timelike B-1-slant helices, timelike B-2-slant helices in four dimensional semi-Euclidean space, R-2(4). And then we obtain an approximate solution for the timelike B-1 slant helix with Taylor matrix collocation method.</dc:description><dc:publisher>HONAM MATHEMATICAL SOC</dc:publisher><dc:date>2022-09</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/bayburt/14452</dc:identifier><dc:identifier>https://doi.org/10.5831/hmj.2022.44.3.310</dc:identifier><dc:identifier>1225-293X</dc:identifier><dc:language>en</dc:language><dc:relation>HONAM MATHEMATICAL JOURNAL</dc:relation><dc:rights>info:eu-repo/semantics/closedAccess</dc:rights><dc:type>info:eu-repo/semantics/article</dc:type><dc:identifier>https://bayburt-rdlopen.rawdatalibrary.net/tr/items/bayburt/14452</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>