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

Lu Guangcun; Xiao Bang

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

Lu Guangcun *,Xiao Bang

School of Mathematical Sciences, Beijing Normal University, Beijing 100875

*Correspondence author

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Funding: NNSF（No.10971014）, Research Fund for theDoctoral Program Higher Education of China （No.200800270003）

Opened online:12 December 2011

Accepted by: none

Citation: Lu Guangcun,Xiao Bang.Deforming symplectomorphism of certain irreducible Hermitiansymmetric spaces of compact type by mean curvature flow[OL]. [12 December 2011] http://en.paper.edu.cn/en_releasepaper/content/4453814

In this paper, we generalize Medos-Wang‘s arguments andresults on the mean curvature flow deformations ofsymplectomorphisms of the complex projective spaces in Medos Wang[1]to a class of irreducible Hermitian symmetric spaces of compact typeincluding complex Grassmann manifolds and their compact totallygeodesic Kahler-Einstein submanifolds.

Keywords:Symplectic geometry; Kahler-Einstein manifold; symplectomorphism; mean curvature flow

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