表面的超重拉格朗日浸入

Pub Date : 2019-01-01 DOI:10.4310/JSG.2019.V17.N1.A5

Morimichi Kawasaki

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引用次数: 5

摘要

在Entov-Polterovich意义上证明了具有正格的闭黎曼曲面上一些圆的并是超重的。通过Entov和Polterovich的结果，这意味着该并与具有Fubini-Study辛形式的C P n的Clifford环的乘积不能被任何辛形态所取代。

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Superheavy Lagrangian immersions in surfaces

We show that the union of some circles in a closed Riemannian surface with positive genus is superheavy in the sense of Entov-Polterovich. By a result of Entov and Polterovich, this implies that the product of this union and the Cliﬀord torus of C P n with the Fubini-Study symplectic form cannot be displaced by any symplec-tomorphisms.

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