Abstract
We study Ricci solitons and \(\ast\) -Ricci solitons on generalized Sasakian-space-forms (GSSF) \(M^{2n+1} (f_1, f_2, f_3)\) with parallel \(\ast\) -Ricci tensor. We find that if GSSF \(M^{2n+1} (f_1, f_2, f_3)\) with Kenmotsu metric admits a Ricci soliton or a \(\ast\) -Ricci soliton, then \(f_1=-1\) and \(f_2=f_3=0\) . Moreover, the Ricci soliton is expanding, and the \(\ast\) -Ricci soliton is steady. Further, we provide some examples.
