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. [ABSTRACT FROM AUTHOR]