Certain results on trans-paraSasakian 3-manifolds
Keyword(s):
Abstract 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 α-paraSasakian manifold or a space of negative constant sectional curvature.
2021 ◽
2014 ◽
Vol 57
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pp. 401-412
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2012 ◽
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pp. 1220022
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2020 ◽
Vol 17
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pp. 2050196
2007 ◽
Vol 76
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pp. 269-283
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1991 ◽
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pp. 525-531