Abstract
In this paper we study a special type of metric called \(*\)-Ricci soliton on para-Sasakian manifold. We prove that if the para-Sasakian metric is a \(*\)-Ricci soliton on a manifold M, then M is either \(\mathcal {D}\)-homothetic to an Einstein manifold, or the Ricci tensor of M with respect to the canonical paracontact connection vanishes.
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Acknowledgements
The first author (DGP) is thankful to University Grants Commission, New Delhi, India, for financial support to the Department of Mathematics, K. U. Dharwad in the form of UGC-SAP-DRS-III programme (F.510/3/DRS-III/2016(SAP-I) Dated: 29th Feb. 2016).
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Prakasha, D.G., Veeresha, P. Para-Sasakian manifolds and \(*\)-Ricci solitons. Afr. Mat. 30, 989–998 (2019). https://doi.org/10.1007/s13370-019-00698-9
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DOI: https://doi.org/10.1007/s13370-019-00698-9