1 Ocak 2009 Dergi makalesi Açık Erişim

Arslan, K.; De, U. C.; Murathan, C.; Yildiz, A.

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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/38179</identifier>
  <creators>
    <creator>
      <creatorName>Arslan, K.</creatorName>
      <givenName>K.</givenName>
      <familyName>Arslan</familyName>
      <affiliation>Uludag Univ, Dept Math, TR-16059 Bursa, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>De, U. C.</creatorName>
      <givenName>U. C.</givenName>
      <familyName>De</familyName>
      <affiliation>Kalyani Univ, Dept Math, Kalyani, W Bengal, India</affiliation>
    </creator>
    <creator>
      <creatorName>Murathan, C.</creatorName>
      <givenName>C.</givenName>
      <familyName>Murathan</familyName>
      <affiliation>Uludag Univ, Dept Math, TR-16059 Bursa, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Yildiz, A.</creatorName>
      <givenName>A.</givenName>
      <familyName>Yildiz</familyName>
      <affiliation>Dumlupmar Univ, Dept Math, Kutahya, Turkey</affiliation>
    </creator>
  </creators>
  <titles>
    <title>On Generalized Recurrent Riemannian Manifolds</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2009</publicationYear>
  <dates>
    <date dateType="Issued">2009-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/38179</alternateIdentifier>
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    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1007/s10474-008-8049-y</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">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.</description>
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