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In this paper, we generalize Medos-Wang's arguments and results on the meancurvature flow deformations of symplectomorphisms of $\CP^n$ in \cite{MeWa} tocomplex Grassmann manifold $G(n, n+m;\C)$ and compact totally geodesicK\"ahler-Einstein submanifolds of $G(n, 2n;\C)$ such as irreducible Hermitiansymmetric spaces $SO(2n)/U(n)$ and $Sp(n)/U(n)$ (in the terminology of \cite[p.518]{He}). We also give an abstract result and discuss the case of complextori.

Deforming symplectomorphism of certain irreducible Hermitian symmetric spaces of compact type by mean curvature flow