Deforming symplectomorphism of certain irreducible Hermitian symmetric spaces of compact type by mean curvature flow
arXiv:1009.4284
Abstract
In this paper, we generalize Medos-Wang's arguments and results on the mean curvature flow deformations of symplectomorphisms of $\CP^n$ in \cite{MeWa} to complex Grassmann manifold $G(n, n+m;\C)$ and compact totally geodesic Kähler-Einstein submanifolds of $G(n, 2n;\C)$ such as irreducible Hermitian symmetric spaces and (in the terminology of \cite[p. 518]{He}). We also give an abstract result and discuss the case of complex tori.
48 pages:Add a word "certain" in the title: The arguments of improving pinching condition in Theorems 1.1 and 1.2 of the previous version are incorrect: Theorems 1.1 and 1.2 in the present version can only be proved under the same pinching condition as that of the reference [22]