Rigidity and vanishing results on totally real submanifolds under $L^p$-integrable conditions

In this paper, we revise some results on rigidity and vanishing properties obtained by $\mathit{\text{Cuong}}\mathit{\text{et.al}}$ in \cite{CDS24} on $n$-dimensional totally real minimal submanifolds $M$ immersed in complex space forms ${\tilde{M}}^n(c)$, for $c\le 0$. We extend the range of $p$ in their paper.