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              <text>Certain results on trans-paraSasakian 3-manifolds</text>
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              <text>harmonic vector field; Reeb flow symmetry; Ricci operator</text>
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              <text>Let M be a trans-paraSasakian 3-manifold. In this paper, the necessary and sufficient condition for the Reeb vector field of a trans-paraSasakian 3-manifold to be harmonic is obtained. Also, it is proved that the Ricci operator of M is invariant along the Reeb flow if and only if M is a paracosymplectic manifold, an ?-paraSasakian manifold or a space of negative constant sectional curvature.  2022 Walter de Gruyter GmbH, Berlin/Boston.</text>
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              <text>Kumara H.A.; Venkatesha V.; Naik D.M.</text>
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              <text>Analysis (Germany), Vol-42, No. 1, pp. 49-56.</text>
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              <text>De Gruyter Open Ltd</text>
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              <text>2022-01-01</text>
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              <text>&lt;a href="https://doi.org/10.1515/anly-2021-0048" target="_blank" rel="noreferrer noopener"&gt;https://doi.org/10.1515/anly-2021-0048&lt;/a&gt;
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              <text>ISSN: 1744747</text>
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              <text>Kumara H.A.; Venkatesha V., Department of Mathematics, Kuvempu University, Shankaraghatta, Karnataka, 577-451, India; Naik D.M., Department of Mathematics, Christ University, Bengaluru, 560029, India</text>
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