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
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。