<?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>2026-10-19T02:04:05Z</responseDate><request verb="GetRecord" identifier="oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/15471" metadataPrefix="oai_dc">https://ebyu-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/15471</identifier><datestamp>2026-10-18T20:39:23Z</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 rescaled Riemannian metric of Cheeger-Gromoll type on the cotangent bundle</dc:title><dc:creator>Gezer, Aydin</dc:creator><dc:creator>Altunbas, Murat</dc:creator><dc:subject>Almost paracomplex structure</dc:subject><dc:subject>Connection</dc:subject><dc:subject>Cotangent bundle</dc:subject><dc:subject>Paraholomorphic tensor field</dc:subject><dc:subject>Riemannian metric</dc:subject><dc:description>Let (M, g) be an n–dimensional Riemannian manifold and T* M be its cotangent bundle equipped with a Riemannian metric of Cheeger- Gromoll type which rescale the horizontal part by a positive differentiable function. The main purpose of the present paper is to discuss curvature properties of T* M and construct almost paracomplex Norden structures on T* M: We investigate conditions for these structures to be para-Kähler (paraholomorphic) and quasi-para-Kähler. Also, some properties of almost paracomplex Norden structures in context of almost product Riemannian manifolds are presented. © 2016, Hacettepe University. All rights reserved.</dc:description><dc:publisher>Hacettepe University</dc:publisher><dc:date>2016</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/ebyu/15471</dc:identifier><dc:identifier>https://doi.org/10.15672/hjms.20164515849</dc:identifier><dc:identifier>2651-477X</dc:identifier><dc:language>en</dc:language><dc:relation>Hacettepe Journal of Mathematics and Statistics</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/15471</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>