<?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>2026-10-19T01:08:04Z</responseDate><request verb="GetRecord" identifier="oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/15984" metadataPrefix="oai_dc">https://ebyu-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/15984</identifier><datestamp>2026-10-18T20:39:21Z</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>Some notes concerning Riemannian metrics of Cheeger Gromoll type</dc:title><dc:creator>Gezer, Aydin</dc:creator><dc:creator>Altunbas, Murat</dc:creator><dc:subject>Geodesic</dc:subject><dc:subject>Killing vector field</dc:subject><dc:subject>Para-Kähler-Norden metric</dc:subject><dc:subject>Paraholomorphic tensor field</dc:subject><dc:description>Let (M,g) be an n-dimensional Riemannian manifold and TM its tangent bundle. The purpose of the present paper is three-fold. Firstly, to study paraholomorphy property of two Riemannian metrics g a and g a, b of Cheeger Gromoll type depending on one parameter and two parameters by using compatible paracomplex structures J a and J a, b on the tangent bundle TM. Secondly, to classify Killing vector fields on the tangent bundle TM equipped with the Riemannian metric g a, b. Finally, to give a detailed description of geodesics on the tangent bundle TM with respect to the Riemannian metric g a, b. © 2012 Elsevier Ltd.</dc:description><dc:publisher>ACADEMIC PRESS INC ELSEVIER SCIENCE</dc:publisher><dc:date>2012</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/ebyu/15984</dc:identifier><dc:identifier>https://doi.org/10.1016/j.jmaa.2012.06.011</dc:identifier><dc:identifier>1096-0813</dc:identifier><dc:language>en</dc:language><dc:relation>Journal of Mathematical Analysis and Applications</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/15984</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>