Ricci-pseudosymmetric almost $\alpha$-cosymplectic $(k,\mu ,\nu)$-spaces admitting Ricci solitons

UDC 514.7 We study some types of Ricci pseudosymmetric $\alpha$-cosymplectic $(k,\mu ,\nu)$-spaces whose metric admits Ricci solitons. We present some results obtained for Ricci solitons on Ricci pseudosymmetric, projective Ricci pseudosymmetric, concircular Ricci pseudosymmetric, and $W_1$-Ricci pseudosymmetric spaces. Some results on almost $\alpha$-cosymplectic $(k,\mu ,\nu)$-spaces are also presented. Finally, we give an example for the 5-dimensional case.