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In this paper, we investigate the ∗-Ricci operators on trans-Sasakian three-manifolds. We find conditions at which ∗- Ricci tensor on trans-Sasakian three-manifolds is symmetric and under which the ∗-Ricci operators are Reeb flow invariant.

Reeb flow invariant ∗-Ricci operators on trans-Sasakian three-manifolds