<?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>2026-10-19T01:04:08Z</responseDate><request verb="GetRecord" identifier="oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/16912" metadataPrefix="oai_dc">https://ebyu-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/16912</identifier><datestamp>2026-10-18T20:41:08Z</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>CURVATURE PROPERTIES OF RIEMANNIAN METRICS OF THE FORM S gf</dc:title><dc:creator>Gezer, Aydin</dc:creator><dc:creator>Bilen, Lokman</dc:creator><dc:creator>Karaman, Cagri</dc:creator><dc:creator>Altunbas, Murat</dc:creator><dc:subject>Metric connection</dc:subject><dc:subject>Riemannian metric</dc:subject><dc:subject>Riemannian curvature tensor</dc:subject><dc:subject>tangent bundle</dc:subject><dc:subject>Weyl curvature tensor</dc:subject><dc:subject>Mathematics</dc:subject><dc:description>In this paper, we define a special new family of metrics which rescale the horizontal part by a nonzero differentiable function on the tangent bundle over a Riemannian manifold. We investigate curvature properties of the Levi-Civita connection and another metric connection of the new Riemannian metric.</dc:description><dc:publisher>INT ELECTRONIC JOURNAL GEOMETRY</dc:publisher><dc:date>2015</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/ebyu/16912</dc:identifier><dc:identifier>1307-5624</dc:identifier><dc:language>en</dc:language><dc:relation>INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY</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/16912</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>