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