<?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>2026-10-19T01:08:24Z</responseDate><request verb="GetRecord" identifier="oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/13326" metadataPrefix="oai_dc">https://ebyu-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/13326</identifier><datestamp>2026-10-18T20:43:15Z</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>Surfaces generated by translation surfaces of type 1 in i1 3</dc:title><dc:creator>Karacan, Murat Kemal</dc:creator><dc:creator>Çakmak, Ali</dc:creator><dc:creator>Kızıltuğ, Sezai</dc:creator><dc:creator>Es, Hasan</dc:creator><dc:subject>Simply isotropic space</dc:subject><dc:subject>Surface at a constant distance from the edge of regression on a surface</dc:subject><dc:subject>Translation surfaces</dc:subject><dc:description>In this paper, we classify surfaces at a constant distance from the edge of regression on a translation surface of Type 1 in the three dimensional simply isotropic space I13satisfying some algebraic equations in terms of the coordinate functions and the Laplacian operators with respect to the first, the second and the third fundamental forms of the surface. We also give explicit forms of these surfaces. © 2021 Academic Center for Education, Culture and Research TMU.</dc:description><dc:publisher>Iranian Academic Center for Education, Culture and Research</dc:publisher><dc:date>2021</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/ebyu/13326</dc:identifier><dc:identifier>https://doi.org/10.29252/ijmsi.16.1.123</dc:identifier><dc:identifier>1735-4463</dc:identifier><dc:language>en</dc:language><dc:relation>Iranian Journal of Mathematical Sciences and Informatics</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/13326</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>