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Applications of a Special Generalized Quasi-Einstein Manifold

Kirik, Bahar; Zengin, Fusun Ozen


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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/73235</identifier>
  <creators>
    <creator>
      <creatorName>Kirik, Bahar</creatorName>
      <givenName>Bahar</givenName>
      <familyName>Kirik</familyName>
      <affiliation>Marmara Univ, Fac Arts &amp; Sci, Dept Math, Goztepe Campus, TR-34722 Istanbul, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Zengin, Fusun Ozen</creatorName>
      <givenName>Fusun Ozen</givenName>
      <familyName>Zengin</familyName>
      <affiliation>Istanbul Tech Univ, Fac Sci &amp; Letters, Dept Math, TR-34469 Istanbul, Turkey</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Applications Of A Special Generalized Quasi-Einstein Manifold</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2019</publicationYear>
  <dates>
    <date dateType="Issued">2019-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/73235</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1007/s41980-018-0121-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">In this paper, we work on some properties of generalized quasi-Einstein and pseudo Ricci symmetric generalized quasi-Einstein manifolds. Firstly, some basic concepts about generalized quasi-Einstein manifolds are given. In the second section, the holonomy theory in 4-dimensional manifolds admitting a metric g is investigated and the holonomy algebras on these manifolds are determined. Then, we examine the existence of some vector fields on pseudo Ricci symmetric generalized quasi-Einstein manifolds and we prove some theorems. In the last section, as a special generalized quasi-Einstein space-time, pseudo Ricci symmetric generalized quasi-Einstein space-time is studied and some properties of it are obtained.</description>
  </descriptions>
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