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arXiv 0907.2567math.DGmath.AP
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复射影空间的中曲率流变形辛同胚

Deforming symplectomorphisms of complex projective spaces by the mean curvature flow

Ivana Medos, Mu-Tao Wang

摘要:

我们应用中曲率流来变形$\mathbb{CP}^n$的辛同胚。特别是,我们证明了,对于每个维度n,存在一个常数$Λ$,明确可计算,使任何$Λ$ -捏辛同胚的$\mathbb{CP}^n$是辛同位素的双全纯等距。

英文摘要:

We apply the mean curvature flow to deform symplectomorphisms of $\mathbb{CP}^n$. In particular, we prove that, for each dimension n, there exists a constant $Λ$, explicitly computable, such that any $Λ$-pinched symplectomorphism of $\mathbb{CP}^n$ is symplectically isotopic to a biholomorphic isometry.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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