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 mean curvature flow deformations of symplectomorphisms of CPn in [MeWa] to complex Grassmann manifold G(n, n + m; C) and compact totally geodesic Kahler-Einstein submanifolds of it. We also give an abstract result and discuss the case of complex tori.