Singularities of codimension two mean curvature flow of symplectic surfaces

Singularities of codimension two mean curvature flow of symplectic surfaces
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发表时间:
2002-08
期刊:
arXiv: Differential Geometry
影响因子:
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通讯作者:
Jingyi Chen;Jiayu Li
Jingyi Chen;Jiayu Li
中科院分区:
其他
文献类型:
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作者:
Jingyi Chen;Jiayu Li

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证明了对于紧致Kaehler-Einstein曲面中的紧致辛曲面的平均曲率流,在第一个爆破时刻的切锥由R^4 $中两个以上2-平面的有限并组成,这些2-平面在R^4 $上具有复结构.
We prove that for a mean curvature flow of a compact symplectic surface in a compact Kaehler-Einstein surface, the tangent cone at the first blow-up time consists of a finite union of more than two 2-planes in $R^4$ which are complex in a complex structure on $R^4$.