表面的超重拉格朗日浸入

IF 0.6 3区数学 Q3 MATHEMATICS

Journal of Symplectic Geometry 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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来源期刊

Journal of Symplectic Geometry 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes high quality papers on all aspects of symplectic geometry, with its deep roots in mathematics, going back to Huygens’ study of optics and to the Hamilton Jacobi formulation of mechanics. Nearly all branches of mathematics are treated, including many parts of dynamical systems, representation theory, combinatorics, packing problems, algebraic geometry, and differential topology.