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Arslan, K.; De, U. C.; Murathan, C.; Yildiz, A.
<?xml version='1.0' encoding='utf-8'?> <oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" 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:creator>Arslan, K.</dc:creator> <dc:creator>De, U. C.</dc:creator> <dc:creator>Murathan, C.</dc:creator> <dc:creator>Yildiz, A.</dc:creator> <dc:date>2009-01-01</dc:date> <dc:description>The object of the present paper is to study a type of Riemannian manifolds called generalized recurrent manifolds. We have constructed two concrete examples of such a manifold whose scalar curvature is non-zero non-constant. Some other properties have been considered. Among others it is shown that on a generalized recurrent manifold with constant scalar curvature, Weyl-semisymmetry and semisymmetry are equivalent. Sufficient condition for a generalized recurrent manifold to be a special quasi Einstein manifold is obtained.</dc:description> <dc:identifier>https://aperta.ulakbim.gov.trrecord/38179</dc:identifier> <dc:identifier>oai:zenodo.org:38179</dc:identifier> <dc:rights>info:eu-repo/semantics/openAccess</dc:rights> <dc:rights>http://www.opendefinition.org/licenses/cc-by</dc:rights> <dc:source>ACTA MATHEMATICA HUNGARICA 123(1-2) 27-39</dc:source> <dc:title>On generalized recurrent Riemannian manifolds</dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> <dc:type>publication-article</dc:type> </oai_dc:dc>
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