On C-totally real minimal submanifolds of the Sasakian space forms with parallel Ricci tensor

Cheng et al. recently (Results Math 76:144, 2021) established a complete classification of the n -dimensional C -totally real minimal submanifolds with constant sectional curvature in the ( 2 n + 1 ) -dimensional Sasakian space form N 2 n + 1 ( c ) . In this paper, trying to extend the above result, we classify C -totally real minimal submanifolds in N 2 n + 1 ( c ) with parallel Ricci tensor for n = 3 , 4 . In particular, we show that 4-dimensional C -totally real minimal Einstein submanifolds in N 9 ( c ) are of constant sectional curvature.