1 Ocak 2018 Dergi makalesi Açık Erişim

Kirik, Bahar

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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/110438</identifier>
  <creators>
    <creator>
      <creatorName>Kirik, Bahar</creatorName>
      <givenName>Bahar</givenName>
      <familyName>Kirik</familyName>
      <affiliation>Marmara Univ, Dept Math, Goztepe Campus, TR-34722 Istanbul, Turkey</affiliation>
    </creator>
  </creators>
  <titles>
    <title>On Skew-Symmetric Recurrent Tensor Fields Of Second Order In 4-Dimensional Manifolds With Neutral Metric Signature</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2018</publicationYear>
  <dates>
    <date dateType="Issued">2018-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/110438</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.5486/PMD.2018.8273</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 article, skew-symmetric tensor fields of second order, affectionately known as bivectors, are studied on 4-dimensional manifolds equipped with a metric tensor g of neutral signature (+, +, -, -). Recurrence properties of such bivectors are examined by means of classifying these tensor fields algebraically, which is known for each metric signature in 4-dimensions and is much more complicated in the case of neutral signature. Some convenient canonical forms for such bivectors according to their Jordan-Segre type will be useful here. A complete solution to find all possible parallel and recurrent bivectors together with their allowed holonomy algebras are investigated with the help of the fix group of the considered bivector under tetrad transformations.</description>
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