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

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

2010-09-22

arxiv.org/abs/1009.4284v2

Mathematics

Symplectic Geometry

48 pages:Add a word "certain" in the title: The arguments of improving pinching condition in Theorems 1.1 and 1.2 of the previ

Scientific paper

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 K\"ahler-Einstein submanifolds of $G(n, 2n;\C)$ such as irreducible Hermitian symmetric 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 complex tori.

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