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

摘要

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.