Lagrangian product tori in symplectic manifolds

被引：3

作者：

Chekanov, Yuri ^{[1
]}

Schlenk, Felix ^{[2
]}

机构：

[1] Moscow Ctr Continuous Math Educ, B Vlasievsky Per 11, Moscow 121002, Russia

[2] Univ Neuchatel, Inst Math, Rue Emile Argand 11, CH-2000 Neuchatel, Switzerland

来源：

COMMENTARII MATHEMATICI HELVETICI | 2016年 / 91卷 / 03期

关键词：

Lagrangian tori; HOLOMORPHIC-CURVES; SUBMANIFOLDS; RIGIDITY; GEOMETRY; SPACE; S-2;

D O I：

10.4171/CMH/391

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In [7], product Lagrangian tori in standard symplectic space R-2n were classified up to symplectomorphism. We extend this classification to symplectically aspherical symplectic manifolds that embed in a tame symplectic manifold. We show by examples that the asphericity assumption cannot be omitted.

引用

页码：445 / 475

页数：31

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