<?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>2026-10-19T01:52:43Z</responseDate><request verb="GetRecord" identifier="oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/15334" metadataPrefix="oai_dc">https://ebyu-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/15334</identifier><datestamp>2026-10-18T20:30:09Z</datestamp><setSpec>openaire</setSpec><setSpec>driver</setSpec><setSpec>com_ebyu_10000</setSpec><setSpec>col_ebyu_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>On the quaternionic Mannheim curves of Aw(k)-type in Euclidean space E3</dc:title><dc:creator>Kiziltuʇ, Sezai</dc:creator><dc:creator>Yayli, Yusuf</dc:creator><dc:subject>Aw(k)-type curve</dc:subject><dc:subject>General helix</dc:subject><dc:subject>Mannheim curves</dc:subject><dc:subject>Quaternion algebra</dc:subject><dc:description>In this paper, we consider that the curvature conditions of Aw(k)-type (1 ≤ k ≤ 3) quaternionic curves in Euclidean space E3 and investigates quaternionic Mannheim curves α:I → Q with k ≠ 0 and r ≠ 0. Besides, we show that quaternionic Mannheim curves are Aw(2)-type and Aw(3)-type quaternionic curves in E3. But, there is no such a Mannheim curve of Aw(1) -type.</dc:description><dc:publisher>University of Kuwait</dc:publisher><dc:date>2015</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/ebyu/15334</dc:identifier><dc:identifier>2307-4108</dc:identifier><dc:language>en</dc:language><dc:relation>Kuwait Journal of Science</dc:relation><dc:rights>info:eu-repo/semantics/openAccess</dc:rights><dc:type>info:eu-repo/semantics/article</dc:type><dc:identifier>https://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/15334</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>