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Commun. Korean Math. Soc. 2021; 36(2): 377-387
Online first article December 22, 2020 Printed April 30, 2021
https://doi.org/10.4134/CKMS.c200196
Copyright © The Korean Mathematical Society.
Some results on $\eta$-Ricci solitons in quasi-Sasakian 3-manifolds
Abdul Haseeb, Shashikant Pandey, Rajendra Prasad
Jazan University; University of Lucknow; University of Lucknow
In the present paper, we characterize quasi-Sasakian 3-mani\-folds admitting $\eta$-Ricci solitons. Finally, the existence of $\eta$-Ricci soliton in a quasi-Sasakian $3$-manifold has been proved by a concrete example.
Keywords: $\eta$-Ricci solitons, quasi-Sasakian 3-manifold, $\eta$-Einstein manifolds, projective curvature tensor
MSC numbers: Primary 53C15, 53C25
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