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arXiv 1104.1845math.CVmath.SG
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Hartogs图与辛非压缩

Hartogs figure and symplectic non-squeezing

A. Sukhov, A. Tumanov

摘要:

本文解决了实4-流形中一类全实2-环面的Levi-平坦超曲面的填充问题,该流形具有由精确辛形式所驯服的殆复结构.作为应用,我们得到了四维Gromov非压缩定理的一个简单证明和辛结构刚性的新结果。

英文摘要:

We solve a problem on filling by Levi-flat hypersurfaces for a class of totally real 2-tori in a real 4-manifold with an almost complex structure tamed by an exact symplectic form. As an application we obtain a simple proof of Gromov's non-squeezing theorem in dimension 4 and new results on rigidity of symplectic structures.

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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