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<article article-type="Article">
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher">journal-of-dynamical-systems-and-geometric-theories</journal-id>
      <journal-title-group>
        <journal-title>Journal of Dynamical Systems and Geometric Theories</journal-title>
      </journal-title-group>
      <issn publication-format="electronic">2169-0057</issn>
      <issn publication-format="print">1726-037X</issn>
      <publisher>
        <publisher-name>Taru Publications</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.1080/1726037X.2019.1668148</article-id>
      <title-group>
        <article-title>A Non-Flat Riemannian Manifold Admitting Certain Vectors Fields</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Dey</surname>
            <given-names>Santu</given-names>
          </name>
          <aff>Department of Mathematics, Jadavpur University, Kolkata, West Bengal, 700032, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Pal</surname>
            <given-names>Buddhadev</given-names>
          </name>
          <aff>Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi, Uttar Pradesh, 221005, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Bhattacharyya</surname>
            <given-names>Arindam</given-names>
          </name>
          <aff>Department of Mathematics, Jadavpur University, Kolkata, West Bengal, 700032, India</aff>
        </contrib>
      </contrib-group>
      <volume>17</volume>
      <issue>2</issue>
      <fpage>221</fpage>
      <lpage>237</lpage>
      <pub-date date-type="pub">
        <day>18</day>
        <month>11</month>
        <year>2019</year>
      </pub-date>
      <abstract>
        <p>It is well-known that Einstein manifolds play an important role in geometry as well as in general relativity. Einstein manifolds form a natural subclass of the class of quasi-Einstein manifolds. The object of the present paper is to study some geometric properties of mixed-generalized quasi-Einstein Manifolds (MG(QE)undefined) which admitting certain vector fields. We show the existence of MG(QE)undefined, by constructing several non-trivial examples. Finally we study warped product on MG(QE)undefined and show that M = I×M∗ (dimI = 1 and dimM∗ = n − 1) is a MG(QE)undefined if M∗ is a generalized quasi-Einstein Manifold (G(QE)undefined).</p>
      </abstract>
      <kwd-group>
        <kwd>Mixed-generalized quasi-Einstein manifoldsCodazzi type of Ricci tensorcyclic parallel Ricci tensorKilling vector fieldconcurrent vector fieldre- current vector fieldwarped product manifold</kwd>
      </kwd-group>
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          <meta-name>access</meta-name>
          <meta-value>open</meta-value>
        </custom-meta>
        <custom-meta>
          <meta-name>retracted</meta-name>
          <meta-value>no</meta-value>
        </custom-meta>
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  </front>
</article>
