<?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>2026-10-29T20:43:56Z</responseDate><request verb="GetRecord" identifier="oai:munzur-rdlopen.rawdatalibrary.net:munzur/2252" metadataPrefix="oai_dc">https://munzur-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:munzur-rdlopen.rawdatalibrary.net:munzur/2252</identifier><datestamp>2026-10-28T15:17:47Z</datestamp><setSpec>openaire</setSpec><setSpec>com_munzur_1</setSpec><setSpec>col_munzur_2</setSpec><setSpec>com_munzur_8</setSpec><setSpec>col_munzur_154</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>A parallel vector field on Riemannian manifolds admitting semi-symmetric non-metric connection</dc:title><dc:creator>Barman, Ajit</dc:creator><dc:creator>Ünal, Inan</dc:creator><dc:subject>A parallel vector field</dc:subject><dc:subject>Levi Civita connection</dc:subject><dc:subject>Ricci-semi-symmetric manifold</dc:subject><dc:subject>semi-symmetric non-metric connection</dc:subject><dc:description>In this paper, we study Riemannian manifolds admitting a type of semi-symmetric nonmetric connection. By taking the characteristic vector field of this connection as a parallel vector field via the Levi-Civita connection, we examine some curvature properties of Riemannian manifolds. We discuss Ricci-semi symmetry and we consider the conformal curvature tensor. Finally, we study hypersurfaces of Riemanninan manifolds admitting a type of semi-symmetric non-metric connection with a parallel characteristic vector field. We take an example of a Riemannian manifold and we apply our results.</dc:description><dc:publisher>Cambridge Scientific Publishers</dc:publisher><dc:date>2024</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/munzur/2252</dc:identifier><dc:identifier>1359-8678</dc:identifier><dc:language>en</dc:language><dc:relation>Nonlinear Studies</dc:relation><dc:rights>info:eu-repo/semantics/closedAccess</dc:rights><dc:type>info:eu-repo/semantics/article</dc:type><dc:identifier>https://munzur-rdlopen.rawdatalibrary.net/tr/items/munzur/2252</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>