Distributions associated to almost complex structures on symplectic manifolds

IF 0.6 3区数学 Q3 MATHEMATICS

Journal of Symplectic Geometry Pub Date : 2020-02-06 DOI:10.4310/jsg.2021.v19.n5.a2

M. Cahen, Maxime G'erard, S. Gutt, Manar Hayyani

引用次数: 7

Abstract

We look at methods to select triples $(M,\omega,J)$ consisting of a symplectic manifold $(M,\omega)$ endowed with a compatible positive almost complex structure $J$, in terms of the Nijenhuis tensor $N^J$ associated to $J$. We study in particular the image distribution $\Image N^J$.

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辛流形上与几乎复杂结构相关的分布

我们看看选择三元组$(M，\ ω，J)$的方法，三元组$(M，\ ω)$由辛流形$(M，\ ω)$组成，赋与相容的正几乎复结构$J$，根据与$J$相关的Nijenhuis张量$N^J$。我们特别研究了图像分布$\ image N^J$。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.