Symplectic displacement energy for Lagrangian submanifolds

Symplectic displacement energy for Lagrangian submanifolds
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拉格朗日子流形的辛位移能

DOI:
10.1017/s0143385700007410
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发表时间:
1993
影响因子:
0.9
通讯作者:
L. Polterovich
L. Polterovich
中科院分区:
数学2区
文献类型:
--
作者:
L. Polterovich

文献摘要

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摘要 最近H. Hofer定义了一个新的辛不变量,它具有优美的动力学意义。在本文中,我们研究辛流形的拉格朗日子流形的这个不变量。我们的方法基于格罗莫夫的伪全纯曲线理论。
Abstract Recently H. Hofer defined a new symplectic invariant which has a beautiful dynamical meaning. In the present paper we study this invariant for Lagrangian submanifolds of symplectic manifolds. Our approach is based on Gromov's theory of pseudo-holomorphic curves.