<?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>2026-10-19T01:55:58Z</responseDate><request verb="GetRecord" identifier="oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/17084" metadataPrefix="oai_dc">https://ebyu-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/17084</identifier><datestamp>2026-10-18T20:43:00Z</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>Classification of Translation Surfaces of Type 1 in Semi-Isotropic Space</dc:title><dc:creator>Karacan, M. K.</dc:creator><dc:creator>Cakmak, A.</dc:creator><dc:creator>Yuksel, N.</dc:creator><dc:creator>Kiziltug, S.</dc:creator><dc:subject>Semi-isotropic space</dc:subject><dc:subject>translation surfaces</dc:subject><dc:subject>Laplace operator</dc:subject><dc:subject>Mathematics</dc:subject><dc:description>In this paper, we classify translation surfaces of Type1 in the three dimensional semi- isotropic space SI3 under the condition Delta(J) x(i), = lambda(i)x(i), where Delta(J) denotes the Laplacian of the surface with respect to the first, the second and the third fundamental forms. We also give explicit forms of these surfaces.</dc:description><dc:publisher>ISLAMIC AZAD UNIV, SHIRAZ BRANCH</dc:publisher><dc:date>2019</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/ebyu/17084</dc:identifier><dc:identifier>1735-8299</dc:identifier><dc:language>en</dc:language><dc:relation>JOURNAL OF MATHEMATICAL EXTENSION</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/17084</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>